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Volume InformationSource: Proceedings: Mathematical, Physical and Engineering Sciences, Vol. 454, No. 1980 (Dec.8, 1998), pp. 3277-xiPublished by: The Royal SocietyStable URL: http://www.jstor.org/stable/53422 .

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Indexes to Volume 454 (A)

Author Index

Abrahams, I. D. On the non-commutative factorization of Wiener-Hopf kernels of Khrapkov type, 1719 Adams, K. L. See Chapman et al. Afanasiev, G. N., Eliseev, S. M. & Stepanovsky, Y. P. Transition of the light velocity in the Valiov-

Cerenkov effect, 1049 Aihara, K. See Murashige & Aihara Alemany, A. See Plunian et al. Alexopoulos, A. See Choy et al. Ali, M. A., Takhar, H. S. & Soundalgekar, V. M. Effect of radial temperature gradient on the stability

of flow in a curved channel, 2279 Andrews, D. J. A comprehensive methodology for the design of ships (and other complex systems), 187 Ashby, M. F. See Bassetti et al. Ashby, M. F. Checks and estimates for material properties. I. Ranges and simple correlations, 1301 Atkins, A. G., Chen, Z. & Cotterell, B. The essential work of fracture and JR curves for the double

cantilever beam specimen: an examination of elastoplastic crack propagation, 815 Auchmuty, G. Reconstruction of the velocity from the vorticity in three-dimensional fluid flows, 607

Backer, S. See Pan et al. Baker, D. R. & Verbrugge, M. W. The role of charge separation in the response of electrochemical

systems, 1805 Balean, R. & Bartnik, R. The null-timelike boundary problem for Maxwell's equations in Minkowski

space, 2041 Ball, M. A. Coalition structure and the equilibrium concept in n-person games with transferable utility,

1509 Barbu, V. & Sritharan, S. S. H??-control theory of fluid dynamics, 3009 Barnum, H. See Nielsen et al. Bartnik, R. See Balean & Bartnik Bassetti, D., Brechet, Y. & Ashby, M. F. Estimates for material properties. II. The method of multiple

correlations, 1323 Bassom, A. P. See Blennerhassett et al. Baumberger, T. See Berthoud & Baumberger Ben Amar, M. & Patricio da Silva, P. Can one hear the shape of a smectic drum?, 2757 Ben-Ammar, M. On a series inequality for limit-circle and finite problems, 1145 Bergquist, J. C. See Wineland et al. Berkeland, D. See Wineland et al. Bernik, V. I., Dickinson, H. & Dodson, M. M. A Khintchine-type version of Schmidt's theorem for planar

curves, 179 Berthoud, P. & Baumberger, T. Shear stiffness of a solid-solid multicontact interface, 1615 Bishop, S. R. See Clifford & Bishop Bleaney, B. Dynamic nuclear polarization of liquid 3He, 899 Blennerhassett, P. J., Denier, J. P. & Bassom, A. P. Large wave number vortices in time-periodic flows,

2689 Bogy, D. B. See Budaev & Bogy Bollinger, J. J. See Wineland et al. Bornert, M. & Ponte Castafieda, P. Second-order estimates of the self-consistent type for viscoplastic

polycrystals, 3035 Boulanger, Ph. & Hayes, M. Bounds on elastic wave speeds in crystals: theory and applications. 2289 Boulanger, Ph. & Hayes, M. Acoustic axes for elastic waves in crystals: theory and applications, 2323 Bowles, R. I., Caporn, P. & Timoshin, S. N. Nonlinear shortwave Tollmien-Schlichting instability in a

boundary layer on a film-coated wall, 3223 Brandenburg, A., Moss, D. & Soward, A. M. New results for the Herzenberg dynamo: steady and oscil-

latory solutions, 1283, 3275 Brechet, Y. See Bassetti et al. Brody, D. C. & Hughston, L. P. Statistical geometry in quantum mechanics, 2445

3277



3278 Author index

Brown, B. M. & Marietta, M. On a conjecture of Bennewitz, and the behaviour of the Titchmarsh-Weyl matrix near a pole, 1383

Budaev, B. V. & Bogy, D. B. Rayleigh wave scattering by two adhering elastic wedges, 2949 Budd, C. & Galaktionov, V. Stability and spectra of blow-up in problems with quasi-linear gradient

diffusivity, 2371 Burdekin, F. M. See Xu & Burdekin

Caporn, P. See Bowles et al. Carey, A. L., Eastwood, M. G., Jupp, P. E. & Murray, M. K. The spherical phylon group and invariants

of the Laplace approximation, 1255 Caves, C. M. See Nielsen et al. Chadwick, E. The far-field Oseen velocity expansion, 2059 Chamberlain, P. G. See Needham & Chamberlain Chandler-Wilde, S. N. & Zhang, B. Electromagnetic scattering by an inhomogeneous conducting or

dielectric layer on a perfectly conducting plate, 519 Chang, C.-C. See Wang & Chang Chang, M. H. & Chen, C.-K. Hydromagnetic stability of current-induced flow in a small gap between

concentric rotating cylinders, 1857 Chapman, S. J., King, J. R. & Adams, K. L. Exponential asymptotics and Stokes lines in nonlinear

ordinary differential equations, 2733 Chen, C.-K. See Chang & Chen Chen, K. See Pan et al. Chen, K. C. See Yeh & Chen Chen, T. Further correspondences between plane piezoelectricity and generalized plane strain in elasticity,

873 Chen, Z. See Atkins et al. Cheng, H. See Cvetkovic et al. Choy, T. C., Alexopoulos, A. & Thorpe, M. F. Dielectric function for a material containing hyperspherical

inclusions to 0(c2). I. Multipole expansions, 1973 Choy, T. C., Alexopoulos, A & Thorpe, M. F. Dielectric function for a material containing hyperspherical

inclusions to 0(c2). II. Method of images, 1993 Chuang, I. L., Gershenfeld., N., Kubinec, M. G. & Leung, D. W. Bulk quantum computation with nuclear

magnetic resonance: theory and experiment, 447 Clark, J. D., Fraser, W. B., Sharma, R. & Rahn, C. D. The dynamic response of a ballooning yarn:

theory and experiment, 2767 Claudel, C. M. & Newman, K. P. The Cauchy problem for quasi-linear hyperbolic evolution problems

with a singularity in the time, 1073 Cleve, R., Ekert, A., Macchiavello, C. & Mosca, M. Quantum algorithms revisited, 339 Clifford, M. J. & Bishop, S. R. Inverted oscillations of a driven pendulum, 2811 Coad, E. J., Pickles, C. S. J., Seward, C. R., Jilbert, G. H. & Field, J. E. The erosion resistance of

infrared transparent materials, 213 Collins, I. F. See Zheng & Collins Collins, M. J., Raney, R. K. & Livingstone, C. E. On the model-based estimation of backscatter texture

from SAR image texture for area-extensive scenes, 2859 Contreras Cristan, A. See Walden & Contreras Cristan Cooper, A. J. & Crighton, D. G. Transmission of energy down periodically ribbed elastic structures

under fluid loading: algebraic decay in the stop bands, 1337 Cooper, A. J. & Crighton, D. G. Transmission of energy down periodically ribbed elastic structures

under fluid loading: spatial periodicity in the pass bands, 2893 Cotterell, B. See Atkins et al. Cowpertwait, P. S. P. A Poisson-cluster model of rainfall: some high-order moments and extreme values,

885 Cox, S. M. Rotating convection in a shear flow, 1699 Craster, R. V. & Hoang, V. H. Applications of Fuchsian differential equations to free boundary problems,

1241 Crighton, D. G. See Cooper & Crighton Cullin, D. W. See Parks et al. Cvetkovic, V., Dagan, G. & Cheng, H. Contaminant transport in aquifers with spatially variable hydraulic

and sorption properties, 2173

Dagan, G. See Cvetkovic et al.



Author index 3279

Day, P. See Kepert et al. dell' Isola, F. & Hutter, K. What are the dominant thermomechanical processes in the basal sediment

layer of large ice sheets?, 1169 dell' Isola, F. & Hutter, K. A qualitative analysis of the dynamics of a sheared and pressurized layer of

saturated soil, 3105 Denier, J. P. See Blennerhassett et al. Derks, G. & Ratiu, T. Attracting curves on families of stationary solutions in two-dimensional Navier-

Stokes and reduced magnetohydrodynamics, 1407 Dickinson, H. See Bernik et al. DiVincenzo, D. P. Quantum gates and circuits, 261 Dodson, M. M. See Bernik et al. Dolan, B. P. Geometry and thermodynamic fluctuations of the Ising model on a Bethe lattice, 2655 Dowson, D. See Ehret et al.

Eastwood, M. G. See Carey et al. Ehret, P., Dowson, D. & Taylor, C. M. On lubricant transport conditions in elastohydrodynamic con-

juctions, 763 Ekert, A. See Cleve et al. Eliseev, S. M. See Afanasiev et al. Estrada, R. The Cesaro behaviour of distributions, 2425 Evans, D. V. & Porter, R. An example of non-uniqueness in the two-dimensional linear water-wave

problem involving a submerged body, 3145

Fan, C. W. See Hwu & Fan Field, J. E. See Coad et al. Foda, M. A. See Hill & Foda Fokas, A. S. & Pelloni, B. The solution of certain initial boundary-value problems for the linearized

Korteweg-deVries equation, 645 Forbes, L. K. & Gray, B. F. Burning down the house: the time to ignition of an irradiated solid, 2667 Fraser, W. B. See Clark et al. Fraser, W. B. See Stump et al. Fraser, W. B. & Stump, D. M. Yarn twist in the ring-spinning balloon, 707 Friedlander, S. K. See Lesniewski & Friedlander

Galaktionov, V. See Budd & Galaktionov Gates, K. E. See Stump et al. Geoghegan, M. & Jannink, G. On the reflectivity discontinuity generated by critical adsorption at the

liquid-vapour interface, 659 Gershenfeld., N. See Chuang et al. Geyler, V. A. & Popov, I. Yu. Solvable model of a double quantum electron layer in a magnetic field,

697 Goriely, A. & Tabor, M. Nonlinear dynamics of filaments. IV. Spontaneous looping of twisted elastic

rods, 3183 Graham, W. R. The effect of mean flow on the radiation efficiency of rectangular plates, 111 Granasy, L. & James, P. F. Nucleation in oxide glasses: comparison of theory and experiment, 1745 Gray, B. F. See Forbes & Gray Guha, A. A unified theory for the interpretation of total pressure and temperature in two-phase flows

at subsonic and supersonic speeds, 671

Hansen, N. See Liu & Hansen Hayes, M. See Boulanger & Hayes Hill, D. F. & Foda, M. A. Subharmonic resonance of oblique interfacial waves by a progressive surface

wave, 1129 Hoang, V. H. See Craster & Hoang Hobbs, B. E. See Miihlhaus et al. Howe, M. S. The compression wave produced by a high-speed train entering a tunnel, 1523 Huang, N. E., Shen, Z., Long, S. R., Wu, M. C., Shih, H. H., Zheng, Q., Yen, N.-C., Tung, C. C. & Liu,

H. H. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis, 903

Hughston, L. P. See Brody & Hughston



3280 Author index

Hunt, G. W. & Wadee, M. A. Localization and mode interaction in sandwich structures, 1197 Hutter, K. See dell' Isola & Hutter Hutter, K. See Wu et al. Hwu, C. & Fan, C. W. Mixed boundary-value problems of two-dimensional anisotropic elasticity with

perturbed boundaries, 1269 Hydon, P. E. Discrete point symmetries of ordinary differential equations, 1961

Itano, W. M. See Wineland et al.

Jickel, P. & Mullin, T. A numerical and experimental study of codimension-2 points in a parametrically excited double pendulum, 3257

James, P. F. See Granasy & James Jannink, G. See Geoghegan & Jannink Jasiuk, I. See Markenscoff & Jasiuk Jilbert, G. H. See Coad et al. Jozsa, R. Quantum algorithms and the Fourier transform, 323 Jupp, P. E. See Carey et al.

Kassoy, D. R. See Norris & Kassoy Kelly, A. See Parkhouse & Kelly Kendall, K., Liang, W. & Stainton, C. New theory and observations of cell adhesion, 2529 Kepert, C. J., Kurmoo, M. & Day, P. Crystal structures and physical properties of BEDT-TTF charge

transfer salts with (Mo6Clg)X6- anions (BEDT-TTF = bis(ethylenedithio)-tetrathiafulvalene; X C1, Br), 487

King, A. C., Needham, D. J. & Scott, N. H. The effects of weak hyperbolicity on the diffusion of heat, 1659

King, B. E. See Wineland et al. King, J. R. See Chapman et al. Knill, E., Laflamme, R. & Zurek, W. H. Resilient quantum computation: error models and thresholds,

365 Konopelchenko, B. G. & Schief, W. K. Three-dimensional integrable lattices in Euclidean spaces: con-

jugacy and orthogonality, 3075 Kubinec, M. G. See Chuang et al. Kumar, A. On the structure of vortex breakdown on a delta wing, 89 Kurmoo, M. See Kepert et al.

Laflamme, R. See Knill et al. Lakhtakia, A. See Venugopal & Lakhtakia Lakhtakia, A. & Weiglhofer, W. Errata, 3275 Landauer, R. Energy needed to send a bit, 305 Leibfried, D. See Wineland et al. Lesniewski, T. K. & Friedlander, S. K. Particle nucleation and growth in a free turbulent jet, 2477 Leung, D. W. See Chuang et al. Lewis, P. A., Temple, J. A. G., Walker, E. J. & Wickham, G. R. Calculation of diffraction coefficients

for a semi-infinite crack embedded in an infinite anisotropic linearly elastic body, 1781 Li, Y.-M. & Young, L. Anodic oxide films on tantalum: anomalies in steady-state and stepped field ionic

conduction and incorporation of electrolyte species, 239

Liang, W. See Kendall et al. Liang, W. See Nye & Liang Linton, C. M. See McIver et al. Lipton, R. Influence of interfacial surface conduction on the DC electrical conductivity of particle rein-

forced composites, 1371 Liu, D. The critical forms of the attractors for semigroups and the existence of critical attractors, 2157 Liu, H. H. See Huang et al. Liu, Q. & Hansen, N. Macroscopic and microscopic subdivison of a cold-rolled aluminium single crystal

of cubic orientation, 2555 Livingstone, C. E. See Collins et al. Long, S. R. See Huang et al. Longuet-Higgins, M. S. Viscous streaming from an oscillating spherical bubble, 725



Author index 3281

Lowengrub, J. & Truskinovsky, L. Quasi-incompressible Cahn-Hilliard fluids and topological transitions, 2617

Lurie, K. A. The problem of effective parameters of a mixture of two isotropic dielectrics distributed in space-time and the conservation law for wave impedance in one-dimensional wave propagation, 1767

Ma, C.-C. See Yang & Ma Macchiavello, C. See Cleve et al. Maddocks, J. H. See Manning et al. Manna, M. A. & Merle, V. Modified Kortweg-de Vries hierarchies in multiple-time variables and the

solutions of modified Boussinesq equations, 1445 Manners, W. Partial contact between elastic surfaces with periodic profiles, 3203 Manning, R. S., Rogers, K. A. & Maddocks, J. H. Isoperimetric conjugate points with application to the

stability of DNA minicircles, 3047 Markenscoff, X. & Jasiuk, I. On multiple connectivity and reduction of constants for composites with

body forces, 1357 Markenscoff, X. & Paukshto, M. The wedge paradox and a correspondence principle, 147 Markenscoff, X. & Paukshto, M. The Cosserat spectrum in the theory of elasticity and applications, 631 Marietta, M. See Brown & Marletta Marmanis, H. The kinetic theory of point vortices, 587 Martin, M. A. & Taguas, F. J. Fractal modelling, characterization and simulation of particle-size distri-

butions in soil, 1457 Martin, P. A. On potential flow past wrinkled discs, 2209 Marty, P. H. See Plunian et al. Matsuno, Y. Oblique interaction of interfacial solitary waves in a two-layer deep fluid, 835 Mays, L. & Norbury, J. A note on solitary and periodic waves of a new kind, 1831 McAllister, S. See Needham & McAllister McIver, M. See McIver et al. McIver, P. See Rawlins & McIver McIver, P., Linton, C. M. & Mclver, M. Construction of trapped modes for wave guides and diffraction

gratings, 2593 Meekhof, D. M. See Wineland et al. Melissen, H. How different can colours be? Maximum separation of points on a spherical octant, 1499 Mercer, G. N., Weber, R. O. & Sidhu, H. S. An oscillatory route to extinction for solid fuel combustion

waves due to heat losses, 2015 Merle, V. See Manna & Merle Miller, J. See Wineland et al. Mohankumar, N. & Natarajan, A. An error analysis of the Cauchy principal value integral evaluation

by the IMT scheme, 139 Monego, C. J. See Pan et al. Monroe, C. See Wineland et al. Morland, L. W. & Staroszczyk, R. A material coordinate treatment of the sea-ice dynamics equations,

2819 Mosca, M. See Cleve et al. Moss, D. See Brandenburg et al. Miihlhaus, H.-B., Sakaguchi, H. & Hobbs, B. E. Evolution of three-dimensional folds for a non-Newtonian

plate in a viscous medium, 3121 Mullin, T. See Jackel & Mullin Murashige, S. & Aihara, K. Experimental study on chaotic motion of a flooded ship in waves, 2537 Murray, M. K. See Carey et al.

Nagata, W. & Namachchivaya, N. S. Bifurcations in gyroscopic systems with an application to rotating shafts, 543

Namachchivaya, N. S. See Nagata & Namachchivaya Natarajan, A. See Mohankumar & Natarajan Needham, D. J. See King et al. Needham, D. J. & Chamberlain, P. G. Global similarity solutions to a class of semilinear parabolic

equations: existence, bifurcations and asymptotics, 1933 Needham, D. J. & McAllister, S. Centre families in two-dimensional complex holomorphic dynamical

systems, 2267 Nelson, M. I. Ignition mechanisms of thermally thin thermoplastics in the cone calorimeter, 789



3282 Author index

Newman, K. P. See Claudel & Newman Nielsen, M. A., Caves, C. M., Schumacher, B. & Barnum, H. Information-theoretic approach to quantum

error correction and reversible measurement, 277 Norbury, J. See Mays & Norbury Norris, J. A. & Kassoy, D. R. The effect of finite-rate heat release on the solidification of an undercooled

pure liquid, 2347 Northrop, P. A clustered spatial-temporal model of rainfall, 1875 Nye, J. F. & Liang, W. Near-field diffraction by two slits in a black screen, 1635

Ogawa, T. See Sugimoto & Ogawa Olde Daalhuis, A. B. Hyperasymptotic solutions of higher order linear differential equations with a

singularity of rank one, 1 Ovtchinnikov, E. E. & Xanthis, L. S. Iterative subspace correction methods for thin elastic structures

and Korn's type inequality in subspaces, 2023 Owens, R. G. Spectral approximations on the triangle, 857

Pan, N., Chen, K., Monego, C. J. & Backer, S. The hybrid effects in hybrid fibre composites: experimental study using twisted fibrous structures, 1109

Parkhouse, J. G. & Kelly, A. The regular packing of fibres in three dimensions, 1889 Parks, A. D., Cullin, D. W. & Stoudt, D. C. Observation and measurement of an optical Aharonov-

Albert-Vaidman effect, 2997 Patricio da Silva, P. See Ben Amar & Patricio da Silva Paukshto, M. See Markenscoff & Paukshto Payne, L. E. & Straughan, B. Structural stability for the Darcy equations of flow in porous media, 1691 Paz, J. P. & Zurek, W. H. Continuous error correction, 355 Pelloni, B. See Fokas & Pelloni Pickles, C. S. J. See Coad et al. Plunian, F., Marty, P. H. & Alemany, A. Chaotic behaviour of the Rikitake dynamo with symmetric

mechanical friction and azimuthal currents, 1835 Ponte Castaieda, P. See Bornert & Ponte Castaneda Popov, I. Yu. See Geyler & Popov Porter, R. See Evans & Porter Preskill, J. Reliable quantum computers, 385 Preskill, J. Quantum computing: pro and con, 469

Qi, F. Generalized weighted mean values with two parameters, 2723

Rahn, C. D. See Clark et al. Raney, R. K. See Collins et al. Ratiu, T. See Derks & Ratiu Rawlins, A. D. & McIver, P. Diffraction by a thick half-plane with an absorbent end face, 3167

Reid, S. R., Yu, T. X. & Yang, J. L. An elastic-plastic hardening-softening cantilever beam subjected to a force pulse at its tip: a model for pipe whip, 997

Rogers, K. A. See Manning et al. Ru, C. Q. See Schiavone & Ru

Sakaguchi, H. See Miihlhaus et al. Schiavone, P. & Ru, C. Q. Integral equation methods in plane-strain elasticity with boundary reinforce-

ment, 2223 Schief, W. K. See Konopelchenko & Schief Schumacher, B. See Nielsen et al. Scott, N. H. See King et al. Seward, C. R. See Coad et al. Sharma, R. See Clark et al. Sharma, R. K. Contraction of high eccentricity satellite orbits using K-S elements with air drag, 1681

Shen, Z. See Huang et al. Shih, H. H. See Huang et al. Shuvalov, A. L. Topological features of the polarization fields of plane acoustic waves in anisotropic

media, 2911



Author index 3283

Sidhu, H. S. See Mercer et al. Smith, B. J. & Tew, R. H. High-frequency surface wave excitation at a curved impedence boundary, 247 Smith, F. T. & Walton, A. G. Flow past a two- or three-dimensional steep-edged roughness, 31 Smyshlyaev, V. P. & Willis, J. R. A 'non-local' variational approach to the elastic energy minimalization

of martensitic polycrystals, 1573 Soundalgekar, V. M. See Ali et al. Soward, A. M. See Brandenburg et al. Sritharan, S. S. See Barbu & Sritharan Stainton, C. See Kendall et al. Staroszczyk, R. See Morland & Staroszczyk Stepanovsky, Y. P. See Afanasiev et al. Stoudt, D. C. See Parks et al. Straughan, B. See Payne & Straughan Stump, D. M. See Fraser & Stump Stump, D. M., Fraser, W. B. & Gates, K. E. The writhing of circular cross-section rods: undersea cables

to DNA supercoils, 2123 Sugimoto, N. & Ogawa, T. Acoustic analysis of the pressure field in a tunnel generated by entry of a

train, 2083 Svendsen, B. See Wu et al. Sweatman, W. L. Vector rational interpolation algorithms of Burlisch-Stoer-Neville form, 1923

Tabor, M. See Goriely & Tabor Taguas, F. J. See Martin & Taguas Takhar, H. S. See Ali et al. Taylor, C. M. See Ehret et al. Temple, J. A. G. See Lewis et al. Tew, R. H. See Smith & Tew Thorpe, M. F. See Choy et al. Timoshin, S. N. See Bowles et al. Tominaga, A. See Yazaki & Tominaga Truskinovsky, L. See Lowengrub & Truskinovsky Tung, C. C. See Huang et al.

Venugopal, V. C. & Lakhtakia, A. Second harmonic emission from an axially excited slab of a dielectric thin-film helicoidal bianisotropic medium, 1535

Verbrugge, M. W. See Baker & Verbrugge Vitanov, N. K. Breather and soliton wave families for the sine-Gordon equation, 2409

Wadee, M. A. See Hunt & Wadee Walden, A. T. & Contreras Cristan, A. The phase-corrected undecimated discrete wavelet packet trans-

form and its application to interpreting the timing of events, 2243 Walker, E. J. See Lewis et al. Walther, H. Single atom experiments in cavities and traps, 431 Walton, A. G. See Smith & Walton Wang, C.-T. & Chang, C.-C. Sound radiation by a vortex ring passing near the apex of a conical body,

743 Wang, S.-H. Rigorous analysis and estimates of S-shaped bifurcation curves in a combustion problem

with general Arrhenius reaction-rate laws, 1031 Weber, R. O. See Mercer et al. Weiglhofer, W. See Lakhtakia & Weiglhofer Wells, J. C. Calculating the impulse and angular impulse of image vorticity by integrals over free vorticity,

2791 Wickham, G. R. See Lewis et al. Willis, J. R. See Smyshlyaev & Willis Wineland, D. J., Monroe, C., Meekhof, D. M., King, B. E., Leibfried, D., Itano, W. M., Bergquist, J. C.,

Berkeland, D., Bollinger, J. J. & Miller, J. Quantum state manipulation of trapped atomic ions, 411 Wu, M. C. See Huang et al. Wu, T., Hutter, K. & Svendsen, B. On shear flow of a saturated ice-sediment mixture with thermody-

namic equilibrium pressure and momentum exchange, 71 Xanthis, L. S. See Ovtchinnikov & Xanthis



3284 Author index

Xiao, H. On anisotropic invariants of a symmetric tensor: crystal classes, quasi-crystal classes and others, 1217

Xu, W. G. & Burdekin, F. M. Effects of residual stresses on constraint and fracture behaviour of wide plates, 2505

Yang, J. L. See Reid et al. Yang, W. & Ma, C.-C. Orthotropic transform for planar anisotropic elasticity and reduced dependence

of elastic constants, 1843 Yang, Y. Dually charged particle-like solutions in the Weinberg-Salam theory, 155 Yazaki, T. & Tominaga, A. Measurement of sound generation in thermoacoustic oscillations, 2113 Yeh, C. S. & Chen, K. C. A variational principle for the macroscopic theory of elastic type-II supercon-

ductors, 1911 Yen, N.-C. See Huang et al. Young, L. See Li & Young Yu, T. X. See Reid et al.

Zalka, C. Simulating quantum systems on a quantum computer, 313 Zhang, B. See Chandler-Wilde & Zhang Zheng, Q. See Huang et al. Zheng, Q.-S. & Collins, I. F. The relationship between damage variables and their evolution laws and

microstructural and physical properties, 1469 Zurek, W. H. See Knill et al. Zurek, W. H. See Paz & Zurek



Subject Index

w-limit set, 2157 3D elasticity, 2023

AAV effect, 2997 absolutely monotonic function, 2723 absorbing screen diffraction, 1635 accelerated motion, 1049 accessory parameters, 1241 acoustic waves, 899 acoustic axis, 2323, 2911 acoustic model of trains, 2083 acoustical tensor, 2289, 2323 acoustic-polarization field, 2911 acoustics, 111, 1719 active flow control, 3009 additive subspace correction, 2023 adhesion, 2529 aeroacoustics in tunnels, 2083 aerosol formation, 2477 aggregation, 2529 algebraic solitary wave, 835 analytical continuation method, 1269 analytical theory, 1681 anisotropy, 1217, 1781 anodic oxide films, 239 antibunching, 431 antiferromagnetic resonance, 899 aperiodic buckling, 1197 arches, 2023 architecture, 187 Arrhenius, 2667 asymptotic error estimate, 139 asymptotic expansion, 1, 1255, 1445, 2059 asymptotic theory, 3223 asymptotics, 1933 attractors, 1407 axisymmetric, 2279 axisymmetric disturbance, 1857

B-bounded semigroup, 2157 Biicklund transformation, 3075 backscatter texture, 2859 basic property, 2723 beams, 2023 Benjamin-Ono equation, 835 bent twisted rods, 707 Bethe lattice, 2655 bifurcation, 1031 bifurcation diagrams, 3047 bifurcation theory, 543, 1933, 2767 bistable wells, 305 black screen, 1635 blow-up, 2371 body forces, 1357 Borel-Laplace transform, 1 boundary conditions, 607 boundary layers, 31

boundary value problem, 155, 1719, 1961 boundary value problem, characteristic, 2041 braids, 2811 breathers, 2409 brittle fracture, 2505 bubble, 725 buckling, 3121 building block synthesis, 187

capillary vibration spectrum, 2757 cell counting, 2529 centre families, 2267 Cerenkov radiation, 1049 change transfer rates, 487 chaos, 2537, 3257 chaotic behaviour, 2015 clamped boundaries, 147 classical nucleation theory, 1745 coalitional structure, 1509 coalitions, 1509 combustion, 2015 complexity theory, 469 composites, 1109, 1197, 1889 computational fluid dynamics, 2083 computer algebra, 1961 concentrated couple, 147 concentration of inclusions, 1973, 1993 concurrent engineering, 187 condensation by mixing, 2477 configuration space, 2041 conformal Einstein equations, 1073 conformal mapping, 1241 conformal singularity, 1073 conical body, 743 constrained second variation, 3047 constrained variational principle, 155 constructive techniques, 1961 contact mechanics, 1615, 3203 contact problems, 1269 contact resistance, 1615 contaminant hydrology, 2173 continuum mechanics, 1911 control of fluids, 3009 corrective quantum jumps, 355 coupled oscillation, 2537 CPV integral, 139 crack resistance curves, 815 cracks, 2209 crack-tip constant, 2505 creep of polycrystals, 3035 creeping flow, 1169 critical adsorption, 659 critical form of attractor, 2157 critical heat flux, 789 crystal acoustics, 2289, 2323 crystal classes, 1217 crystal subdivision, 2555

3285



Subject index

cubature formulae, 857 curved channel, 2279 curved Stokes flow, 2689 CVD diamond, 213 cyclic lattice, 3075 cylindrical aggregates, 873

damage tensors, 1469 Darcy equations for porous media, 1691 DCB testpiece, 815 Debye layer, 1805 decoherence, 447 deformable body, 2791 density functional theory, 1745 diamond pattern, 2083 dielectric inclusions, 1973, 1993 difference operators, 1145 differential equations, 1, 1961 differential geometry, jets, 1255 diffraction, 2949, 3167 diffraction and polarization, 1635 diffraction by convex bodies, 247 diffraction coefficients, 1781 diffraction, near-field, 1635 diffuse interface theory, 1745 diffusion, 1659 Diophantine approximation, 179 disc dynamo, 1835 discrete geometry, 3075 dislocation structure, 2555 dissipative perturbations, 543 dominant wavelength, 3117 double quantum layer, 697 drag, 1681 dry friction, 1615 ductile fracture, 815, 2505 dynamic nuclear polarization, 899 dynamic structural plasticity, 997 dynamical systems, 2267 dynamics of dusty gases, 671 dynamo effect, 1835 dyons, 155

eigenfunction constraints, 3075 eigenvalues, 2593 elastic constants, 1843 elastic rods, 3047 elastic stiffnesses, 2289, 2323 elastic superconductors, 1911 elastic vibration spectrum, 2757 elastic wave, 1781 elastic-plastic beams, 997 elasticity, 631, 873, 1469, 2223, 3203 elastoplastic fracture mechanics, 815 electrocapillary equation, 1805 electrochemistry, 239 electrodynamical instability, 1835 electromagnetoelasticity, 1911 electroweak solitons, 155 elementary gates, 261

ellipsometry, 239 elliptical boundary perturbation, 1269 embedded conical grid, 89 empirical mode decomposition, 903 energy conversion, 2113 energy minimization, 1573 energy requirement, 305 energy spectrum, 313 energy transmission, 1337 engineering, 187 entanglement, 431, 447 entropy dimension, 1457 entropy generation, 671 equilibrium for coalitions, 1509 equivariant bifurcation theory, 1961 erosion resistance, 213 errata, 3275 error correction, 355, 365, 469 error immunity, 305 Euler equations, 89, 1407 evolution laws, 1469 exact correspondences, 873 existence, 1831, 1933 existence and uniqueness theorems, 2041 experimental verification, 1109 exponential asymptotics, 2733 exponential improvement, 1 extinction, 2015 extrapolation methods, 1923 extremal planar curves, 179 extreme values, 885

false twisting, 707 far field flow, 2059 fault tolerance, 365, 385 fermionic field theories, 313 fibres, 1889 filament dynamics, 3183 finite strain theory, 71 finite-element method, 2819 fire safety, 789 flashover burning, 2667 flooded ship, 2537 fluid dynamics, 31 fluid-loaded structures, 1337, 2893 folding, three-dimensional, 3121 force, 2791 forced oscillation, 2537 Fourier analysis, 3203 Fourier transform, 323 fractal distribution, 1457 fracture, 815 Frank-Kamenetskii transition value, 1031 free boundary problems, 1241 free-mode propagation, 247 frequency-time spectrum, 903 Friedrich extension, 1145 front propagation speed, 2347 functional description, 187

generalized functions, 2425

3286



geometrical theory of diffraction, 1781 geometry, 2655 glacier-ice sheet flow, 1169 glasses, 1745 global attractor, 2157 global solution, 1933 gluing bifurcation, 1699 gratings, 2593 gravity driven flow, 71 Green's function, 743, 1337, 2893 groundwater quality, 2173 gyroscopic systems, 543

H??-control, 3009 half-plane, 3167 Hamilton-Jacobi theory, 3009 Hamiltonian systems, 1383, 3009 hardening-softening beams, 997 harmonic vector fields, 607 Hartmann number, 1857 heat engines, 2113 helicoidal symmetry, 1535 Hellinger-Nevanlinna m-coefficient, 1145 Helmholtz equation, 519 Helmholtz free energy, 631 HELP inequality, 1383 Herzenberg dynamo, 1283 heterogeneous materials, 3035 high eccentricity, 1681 high Reynolds numbers, 31 high-speed train, 1523 Hilbert space geometry, 2445 Hilbert spectral analysis, 903 holes, 1843 holomorphic, 2267 horseshoe, 2811 hybrid effects, 1109 hydrodynamic stability, 1699 hydrodynamics, 2059 hydromagnetic stability, 1857 hyperasymptotics, 1 hyperbolicity, 1659 hypersingular integral equations, 2209 hyperspheres, 1973, 1993

ice flow, 71 ice-sediment mixture, 71 image vorticity, 2791 images, 1973, 1993, 3167 immiscible binary fluids, 2617 impulse, 2791 impulsive loading, 997 IMT scheme, 139 inclusion/cavity, 147 inclusions, 1357, 1843 incompressible potential flow, 2791 indefinite action functional, 155 index, 3047 inequalities, 2289 infrared materials, 213

Subject index

initial value problems, 1923 instability analysis, 1835 integrability, 645 integral equations, 519, 1719 integral representation, 645 integro-differential equations, 2223 interactive buckling, 1197 interface theory, 1169 interfacial solitary wave, 835 interfacial surface conductivity, 1371 internal waves, 1129 interwound supercoils, 2123 intrinsic boundary elasticity, 2223 intrinsic time-scale, 903 invariant set, 2157 invariants, 1217 inverse scattering transform, 645 ionic conduction, 239 irradiated surface, 2667 irreducible functional bases, 1217 Ising model, 2655 isospectral surfaces, 2757

JR curves, 815 joint stiffness, 1615 Josephson junction, 2409

K-S regular elements, 1681 Khintchine's theorem, 179 Kirchhoff equations, 3183

Lagrangian transport modelling, 2173 Lame system, 3075 laminated structures, 1197 Landau operator, 697 large deflection rods, 2123 large-scale problems, 2023 laser cooling, 411 Laurent coefficients, approximating, 1383 laws of physics, 305 Lax pairs, 645 layered materials, 1843 Lekhnitskii's formalism, 873 level set methods, 2617 light velocity barrier, 1049 limit cycles, 2767 linear elastic rods, 2123 link, 2123 Lippmann-Schwinger equation, 519 liquid 3He, 899 liquid crystals, 2757 liquid impact, 213 localization, 1197 longitudinal elastic wave, 2911 long-range coupling, 2893 Lorenz force, 1857 low frequency sound, 1523 lubricant transport in EHL, 763

MagLev, 1523

3287



Subject index

magnetic field, 697, 1283 magnetohydrodynamics, 1407 manifolds, 2811 manoeuvring problems, 2059 martensitic phase transformations, 1573 master equation, 355 matched asymptotics, 1805 material data estimation, 1301, 1323 material data validation, 1301, 1323 matrix manipulation, 1337 maximal domain, 1145 maximum separation problem, 1499 Maxwell demon, 277 Maxwell's equations, 2041 Mclver stream function, 3145 metal-insulator transitions, 487 micro slip, 1615 micropressure wave, 1523 microstructure, 1469 microwave diffraction, 1635 minimal surfaces, 2757 mixture theory, 2617 modified Boussinesq equation, 1445 molecular conductors, 487 moment, 2791 monotone convergence theorem, 1831 monotonicity, 2723 Morse theory, 1255 moving boundary problem, 2819 multi-level EHL solutions, 763 multiple-time variables, 1445 multipole expansion, 1973, 1993

n-person games, 1509 narrow gap, 2279 naval ship design, 187 Navier-Stokes, 1407 neutrally stable vortices, 2689 Newton's law of cooling, 1691 NMR, 447 nodding oscillations, 2811 noise, 111 noise barrier, 3167 non-adiabatic, 2015 non-axisymmetric disturbance, 1857 non-Boussinesq convection, 1691 non-classical states, 411 non-destructive testing, 1781 non-equilibrium gas dynamics, 671 non-flammable materials, 789 nonlinear differential equations, 903 nonlinear dynamics, 543, 1699 nonlinear eigenvalue, 2371 nonlinear equations, 2733 nonlinear homogenization, 3035 nonlinear instability, 1835 nonlinear optics, 1535 nonlinear roll motion, 2537 nonlinear waves, 3223 non-local variational principles, 1573

non-locality, 259 non-Newtonian EHL, 763 non-stationary time-series, 903, 2243 non-uniqueness, 3145 normal forms, 543 nuclear magnetic resonance, 447, 899 nucleation, 1745 nucleation in jets, 2477 numerical continuation, 1197 numerical evaluation, 139 numerical front capturing, 2617 numerical integration, 1383, 1923 numerical simulation, 1337

oblique interaction, 835 one atom maser, 431 one-dimensional particle, 313 operator extension theory, 697 optical rotation, 1535 ordinary differential equations, 1923 organizing centres, 3257 orientation distribution function, 1469 orthogonal geometry, 3257 orthotropic transform, 1843 oscillation, 725 Oseen velocity, 2059 oxide systems, 1745

packing density, 1889 Pade approximants, 1719 parametric estimation, 2445 parametric instability, 1129 parametric pendulum, 3257 parametrically forced pendulum, 2811 particle nucleation, 2477 particle-size soil distribution, 1457 pass band, 2893 Penrose tiling, 1889 perfectly bonded interface, 1357 period-doubling, 2015 periodic array, 697 periodically ribbed membrane, 1337 perturbations, symmetry breaking 543 perturbation theory, 1445, 2209 phase space, 2041 phylon group invariants, 1255 piezoelectricity, 873, 1469 pipe ovalization, 997 pipe whip, 997 Pitot tube, 671 planar anisotropy, 1843 planar pendulum, 3257 plane deformations, 2223 plane elasticity, 1357 plastic deformation, 2555 plates, 2023 Poincare theorem, 2911 point process, 885, 1875 point vortices, 587 Poisson's ratio, 631

3288



Subject index

polycrystals, 1573 polymers, 789 positive solution, 1031 postselection measurements, 2997 potential representations, 607 potential wells, 659 preliminary design methodology, 187 prime mover, 2113 propagation matrix, 2893 property correlations, 1301, 1323 property wave, 1767 pulsating, 2015 punch indentation problems, 1269

quadratic forms, 1831 quantum algorithms, 323, 339 quantum coherence, 259 quantum communication, 305 quantum complexity, 323 quantum computation, 323, 339, 365, 411, 447, 469 quantum computers, 261, 313 quantum error correction, 277 quantum factoring, 339 quantum gates, 261 quantum information, 277, 365 quantum leaks, 385 quantum mechanics, 447 quantum networks, 339 quantum operations, 277 quantum optics, 411 quantum phase estimation, 339 quantum state engineering, 411 quantum statistical inference, 2445 quantum theory, 259 quasi-crystal classes, 1217 quasi-linear parabolic PDEs, 2371 quasi-steady theory, 2689

radar imaging, 2859 radial temperature gradient, 2279 radiated sound, 743 radiation-atom interaction, 431 radiative ignition, 789 rain cells, 885 rainfall radar data, 1875 random surfaces, 1615 rapid solidification, 2347 rate-dependent plasticity, 3035 rational interpolation, 1923 Rayleigh waves, 2949 red cell, 2529 reduced parameter dependence, 1357 reflectivity, 659 relativistic invariance, 1767 relaxation problems, 1573 reliable quantum computers, 385 residue inequality, 1383 resonance fluorescence, 431 reversible communication, 305 reversible measurement, 277

Reynolds number, 1283 Ribaucour transformation, 3075 Riemann-Hilbert problems, 645 Rikitake dynamo system, 1835 ring spinning, 707, 2767 robust control, 3009 rods, 2023 rotating yarn loops, 2767 rough surface scattering, 519 roughnesses, 31

satellite orbit contraction, 1681 saturated binary mixture, 3105 saturated mixture, 71 scaling laws, 587 scaling turbulent nucleation, 2477 scattering, 1719, 2949, 3167 Schr6dinger equation, one-dimensional, 659 Schr6dinger equation, time-dependent, 659 sculptured thin films, 1535 sea-ice dynamics, 2819 sea-ice rheology, 2819 seals, 3203 second harmonic generation, 1535 secondary instability, 3223 second-order theory, 3035 secular equation, 2289, 2323 secularities, 1445 self-consistent estimates, 3035 self-similarity, 1457, 2371 semigroup, 1073 semigroup with B-ACP, 2157 separation of colours, 1499 separations, 31 series inequalities, 1145 shadowing, 1407 sheared saturated soil, 3105 shells, 2023 Shinkansen, 1523 shock waves, new, 1049 similarity solution, 1933 simulated decay, 313 sine-Gordon equation, 2409 singular perturbation, 1805, 3105 singular surface, 2083 singularities on interfaces, 2617 skewness, 885 sliding on soft bed, 1169 slip in EHL, 763 slipping surface, 1357 smart materials, 1767 smectic films, 2757 soft basal sliding, 3105 soil-water interaction, 1169, 3105 solar magnetic field, 2243 solidification, 1241, 2347 solidification/slip in EHL, 763 solitary waves, 1831 solitons, 2409 solutions, minimal and dominant, 1145

3289



Subject index

solvable model, 697 Sommerfield integrals, 2949 sonoluminescence, 725 sorption variability, 2173 sound radiation, 111 spatial periodicity, 2893 spatial temperature profile, 2667 spatial-temporal modelling, 1875 spatio-temporal laminates, 1767 special functions, 1241 spectral approximations, 857 spectral properties, 659 spectral theory, 631 spectral transforms, 645 spherically symmetric solutions, 155 spherically symmetrical atmosphere, 1681 spin resonance, 447 spontaneous looping, 3183 spontaneous oscillation, 2113 S-shaped bifurcation curve, 1031 stability, 1407, 2279, 2371 stabilizer codes, 355 stagnation properties, 671 statistical averaging, 1573 statistical dynamics, 587 statistical mechanics, 2529 statistics, 1255 steady laminar flow, 1283 Steuerwald-Lamb ansatz, 2409 Stokes multilplier, 1 Stokes's phenomenon, 2733 streaming, 725 streamlines, 3145 stress triaxiality, 2505 Stroh formalism, 1269 strong convergence, 1831 structural acoustics, 111 structural stability, 1691 structurally chiral medium, 1535 subharmonic oscillations, 2811 subharmonic resonance, 1129 submerged cylinder, 3145 subsurface heterogeneity, 2173 subsurface transport, 2173 summability, 2425 surface charge density, 1805 surface rays, 247 surface-to-volume dissipation, 1371 'switching' of material parameters, 1767 symmetric hyperbolic system, 1073 symmetric tensor, 1217 symmetry methods, 1961 synthetic aperture radar, 2859

T-stress, 2505 Tamme's problem, 1499 tantalum pentoxide films, 239 Taylor number, 1857 Tchebycheff's integral inequality, 2723 texture analysis, 2859

thermal convection, 1699 thermal ignition, 2667 thermoacoustics, 2113 thermodynamic balances, 1169 thermodynamic consistent formulation, 71 thermodynamic stability, 3105 thermodynamics, 2113, 2655 thermodynamics, second law, 277 thermoelasticity, 631 thick half-plane, 3167 thin coating, 2223 thread-line dynamics, 707 three-dimensional flow, 31 time map, 1031 time-series, 885 time-series analysis, 2537 Titchmarsh-Weyl; matrix, 1383 topological index, 2911 tortuousity, 2123 train entering tunnel, 1523 trapped atoms, 411 trapped ions, 431 triangular spectral elements, 857 triple-deck flow, 3223 tunnel acoustics, 2083 turbulent aerosol nucleation, 2477 twist, 2123 twist-bonding equivalence, 1109 two inclusions, 1973, 1993 two parameters, 2723 two-dimensional problem, 3145 two-dimensional turbulence, 587 two-fluid flow, 3223 two-fluid system, 835, 1831 two-phase flows, 671 two-point boundary value problems, 3047 two-slit diffraction, 1635

Ulysses spacecraft, 2243 unbounded domain, 2593 uncertainty relations, 2445 undercooled liquid, 2347 uniform convergence in thickness and discretization

parameters, 2023 unusual EHL profiles, 763

Van Vleck paramagnetism, 899 variational methods, 2617 variational principle, 607, 631, 1911 vector singularity, 2911 vector time-series, 1923 velocity reconstruction, 607 viscoelasticity, 3121 viscosity, 725 Volterra integral, 2667 vortex dynamics, 587 vortex ring, 743 vorticity, 89, 607

wake velocity, 2059

3290



Subject index

water waves, 3145 wave expansion, 1445 wave impedance, 1767 wave resonance, 3223 wave speeds, 2289, 2323 wavelet packet transform, 2243 wavelet phase, 2243 wavy-shaped surface, 1269 weak energy, 2997 weak values, 2997 wedge paradox, 147

wedges, 2949 Weibull distribution, 1109

weighted mean values, 2723 welding residual stresses, 2505 Weyl curvature hypothesis, 1073 Wiener-Hopf factorization, 1781 Wiener-Hopf technique, 1719 WKB asymptotics, 2689 writhe, 2123 writhing instability, 3183

yarn balloons, 707, 2767 yarn twist, 707

zinc sulphide, 213

End of the four hundred and fifty-fourth volume (Series A)

3291



Proceedings of

The Royal Society of London

Series A Mathematical, Physical and

Engineering Sciences

VOLUME 454 1998

Published by THE ROYAL SOCIETY

6 Carlton House Terrace, London SW1Y 5AG



ISSN 1364-5021

The thirteen numbers in this volume can be obtained separately from the Royal Society,

6 Carlton House Terrace, London SW1Y 5AG.

Copyright ? 1998 The Royal Society

It is the policy of the Royal Society not to charge any royalty for the production of a single copy of any one article made

for private study or research. Requests for copying or reprinting of any article for any other purpose

should be sent to the Royal Society.

The text paper used in this publication is alkaline sized with a coating which is predominantly calcium carbonate. The

resultant surface pH is in excess of 7.5 which gives the maximum practical permanence.

Printed in Great Britain by the University Press, Cambridge Typeset in Great Britain by T&T Productions Ltd, London



Contents

Series A Volume 454

No. 1968 8 January 1998

Hyperasymptotic solutions of higher order linear differential equations with a singularity of rank one

By A. B. Olde Daalhuis page 1 Flow past a two- or three-dimensional steep-edged roughness

By F. T. Smith & A. G. Walton 31

On shear flow of a saturated ice-sediment mixture with thermodynamic equilibrium pressure and momentum exchange

By T. Wu, K. Hutter & B. Svendsen 71 On the structure of vortex breakdown on a delta wing

By A. Kumar 89 The effect of mean flow on the radiation efficiency of rectangular plates

By W. R. Graham 111 An error analysis of the Cauchy principal value integral evaluation by the IMT scheme

By N. Mohankumar & A. Natarajan 139 The wedge paradox and a correspondence principle

By X. Markenscoff & M. Paukshto 147

Dually charged particle-like solutions in the Weinberg-Salam theory By Y. Yang 155

A Khintchine-type version of Schmidt's theorem for planar curves

By V. I. Bernik, H. Dickinson & M. M. Dodson 179 A comprehensive methodology for the design of ships (and other complex systems)

By D. J. Andrews 187 The erosion resistance of infrared transparent materials

By E. J. Goad, C. S. J. Pickles, C. R. Seward, G. H. Jilbert & J. E. Field 213 Anodic oxide films on tantalum: anomalies in steady-state and stepped field ionic conduction and incorporation of electrolyte species

By Y.-M. Li & L. Young 239

Rapid communication

High-frequency surface wave excitation at a curved impedence boundary By B. J. Smith & R. H. Tew 247

No. 1969 8 January 1998

Quantum coherence and decoherence. A conference organized and edited by D. DiVincenzo, E. Knill, R. Laflamme & W. Zurek

Quantum gates and circuits

By D. P. DiVincenzo 261 Information-theoretic approach to quantum error correction and reversible measurement

By M. A. Nielsen, C. M. Caves, B. Schumacher & H. Barnum 277

Energy needed to send a bit

By R. Landauer 305

iii



Simulating quantum systems on a quantum computer By C. Zalka 313

Quantum algorithms and the Fourier transform

By R. Jozsa 323

Quantum algorithms revisited

By R. Cleve, A. Ekert, C. Macchiavello & M. Mosca 339 Continuous error correction

By J. P. Paz & W. H. Zurek 355

Resilient quantum computation: error models and thresholds

By E. Knill, R. Laflamme & W. H. Zurek 365

Reliable quantum computers By J. Preskill 385

Quantum state manipulation of trapped atomic ions

By D. J. Wineland, C. Monroe, D. M. Meekhof, B. E. King, D. Leibfried, W. M. Itano, J. C. Bergquist, D. Berkeland, J. J. Bollinger & J. Miller 411

Single atom experiments in cavities and traps By H. Walther 431

Bulk quantum computation with nuclear magnetic resonance: theory and experiment By I. L. Chuang, N. Gershenfeld., M. G. Kubinec & D. W. Leung 447

Quantum computing: pro and con

By J. Preskill 469

No. 1970 8 February 1998

Crystal structures and physical properties of BEDT-TTF charge transfer salts with

(Mo6Cl8)X2- anions (BEDT-TTF = bis(ethylenedithio)-tetrathiafulvalene; X = Cl, Br) By C. J. Kepert, M. Kurmoo & P. Day 487

Electromagnetic scattering by an inhomogeneous conducting or dielectric layer on a

perfectly conducting plate By S. N. Chandler-Wilde & B. Zhang 519

Bifurcations in gyroscopic systems with an application to rotating shafts

By W. Nagata & N. S. Namachchivaya 543

The kinetic theory of point vortices

By H. Marmanis 587

Reconstruction of the velocity from the vorticity in three-dimensional fluid flows

By G. Auchmuty 607

The Cosserat spectrum in the theory of elasticity and applications By X. Markenscoff & M. Paukshto 631

The solution of certain initial boundary-value problems for the linearized Korteweg-de Vries equation

By A. S. Fokas & B. Pelloni 645

On the reflectivity discontinuity generated by critical adsorption at the liquid-vapour interface

By M. Geoghegan & G. Jannink 659

A unified theory for the interpretation of total pressure and temperature in two-phase flows at subsonic and supersonic speeds

By A. Guha 671

iv Contents



Solvable model of a double quantum electron layer in a magnetic field

By V. A. Geyler & I. Yu. Popov 697 Yarn twist in the ring-spinning balloon

By W. B. Fraser & D. M. Stump 707

Rapid communication

Viscous streaming from an oscillating spherical bubble By M. S. Longuet-Higgins 725

No. 1971 8 March 1998 Sound radiation by a vortex ring passing near the apex of a conical body

By C.-T. Wang & C.-C. Chang 743 On lubricant transport conditions in elastohydrodynamic conjuctions

By P. Ehret, D. Dowson & C. M. Taylor 763

Ignition mechanisms of thermally thin thermoplastics in the cone calorimeter

By M. I. Nelson 789 The essential work of fracture and JR curves for the double cantilever beam specimen: an examination of elastoplastic crack propagation

By A. G. Atkins, Z. Chen & B. Cotterell 815

Oblique interaction of interfacial solitary waves in a two-layer deep fluid

By Y. Matsuno 835

Spectral approximations on the triangle By R. G. Owens 857

Further correspondences between plane piezoelectricity and generalized plane strain in elasticity

By T. Chen 873 A Poisson-cluster model of rainfall: some high-order moments and extreme values

By P. S. P. Cowpertwait 885

Dynamic nuclear polarization of liquid 3He

By B. Bleaney 899 The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis

By N. E. Huang, Z. Shen, S. R. Long, M. C. Wu, H. H. Shih, Q. Zheng, N.-C. Yen, C. C. Tung & H. H. Liu 903

No. 1972 8 April 1998 An elastic-plastic hardening-softening cantilever beam subjected to a force pulse at its tip: a model for pipe whip

By S. R. Reid, T. X. Yu & J. L. Yang 997

Rigorous analysis and estimates of S-shaped bifurcation curves in a combustion problem with general Arrhenius reaction-rate laws

By S.-H. Wang 1031 Transition of the light velocity in the Valiov-Cerenkov effect

By G. N. Afanasiev, S. M. Eliseev & Y. P. Stepanovsky 1049 The Cauchy problem for quasi-linear hyperbolic evolution problems with a singularity in the time

By C. M. Claudel & K. P. Newman 1073

Contents v



The hybrid effects in hybrid fibre composites: experimental study using twisted fibrous structures

By N. Pan, K. Chen, C. J. Monego & S. Backer 1109

Subharmonic resonance of oblique interfacial waves by a progressive surface wave

By D. F. Hill & M. A. Foda 1129

On a series inequality for limit-circle and finite problems By M. Ben-Ammar 1145

What are the dominant thermomechanical processes in the basal sediment layer of large ice sheets?

By F. dell' Isola & K. Hutter 1169

Localization and mode interaction in sandwich structures

By G. W. Hunt & M. A. Wadee 1197

On anisotropic invariants of a symmetric tensor: crystal classes, quasi-crystal classes and others

By H. Xiao 1217

Rapid communication

Applications of Fuchsian differential equations to free boundary problems By R. V. Craster & V. H. Hoang 1241

No. 1973 8 May 1998

Editorial 1253

The spherical phylon group and invariants of the Laplace approximation By A. L. Carey, M. G. Eastwood, P. E. Jupp & M. K. Murray 1255

Mixed boundary-value problems of two-dimensional anisotropic elasticity with

perturbed boundaries

By C. Hwu & C. W. Fan 1269

New results for the Herzenberg dynamo: steady and oscillatory solutions

By A. Brandenburg, D. Moss & A. M. Soward 1283

Checks and estimates for material properties. I. Ranges and simple correlations

By M. F. Ashby 1301

Estimates for material properties. II. The method of multiple correlations

By D. Bassetti, Y. Brechet & M. F. Ashby 1323

Transmission of energy down periodically ribbed elastic structures under fluid loading: algebraic decay in the stop bands

By A. J. Cooper & D. G. Crighton 1337

On multiple connectivity and reduction of constants for composites with body forces

By X. Markenscoff & I. Jasiuk 1357

Influence of interfacial surface conduction on the DC electrical conductivity of particle reinforced composites

By R. Lipton 1371

On a conjecture of Bennewitz, and the behaviour of the Titchmarsh-Weyl matrix near a pole

By B. M. Brown & M. Marletta 1383

Attracting curves on families of stationary solutions in two-dimensional Navier-Stokes and reduced magnetohydrodynamics

By G. Derks & T. Ratiu 1407

vi Contents



Modified Kortweg-de Vries hierarchies in multiple-time variables and the solutions of modified Boussinesq equations

By M. A. Manna & V. Merle 1445 Fractal modelling, characterization and simulation of particle-size distributions in soil

By M. A. Martin & F. J. Taguas 1457 The relationship between damage variables and their evolution laws and microstructural and physical properties

By Q.-S. Zheng & I. F. Collins 1469 How different can colours be? Maximum separation of points on a spherical octant

By J. B. M. Melissen 1499

No. 1974 8 June 1998 Coalition structure and the equilibrium concept in n-person games with transferable utility

By M. A. Ball 1509 The compression wave produced by a high-speed train entering a tunnel

By M. S. Howe 1523 Second harmonic emission from an axially excited slab of a dielectric thin-film helicoidal bianisotropic medium

By V. C. Venugopal & A. Lakhtakia 1535 A 'non-local' variational approach to the elastic energy minimalization of martensitic polycrystals

By V. P. Smyshlyaev & J. R. Willis 1573 Shear stiffness of a solid-solid multicontact interface

By P. Berthoud & T. Baumberger 1615 Near-field diffraction by two slits in a black screen

By J. F. Nye & W. Liang 1635 The effects of weak hyperbolicity on the diffusion of heat

By A. C. King, D. J. Needham & N. H. Scott 1659 Contraction of high eccentricity satellite orbits using K-S elements with air drag

By R. K. Sharma 1681 Structural stability for the Darcy equations of flow in porous media

By L. E. Payne & B. Straughan 1691

Rotating convection in a shear flow

By S. M. Cox 1699 On the non-commutative factorization of Wiener-Hopf kernels of Khrapkov type

By I. D. Abrahams 1719 Nucleation in oxide glasses: comparison of theory and experiment

By L. Granasy & P. F. James 1745

No. 1975 8 July 1998

The problem of effective parameters of a mixture of two isotropic dielectrics distributed in space-time and the conservation law for wave impedance in one-dimensional wave propagation

By K. A. Lurie 1767

Contents vii



Calculation of diffraction coefficients for a semi-infinite crack embedded in an infinite

anisotropic linearly elastic body

By P. A. Lewis, J. A. G. Temple, E. J. Walker & G. R. Wickham 1781

The role of charge separation in the response of electrochemical systems

By D. R. Baker & M. W. Verbrugge 1805

A note on solitary and periodic waves of a new kind

By L. Mays & J. Norbury 1831

Chaotic behaviour of the Rikitake dynamo with symmetric mechanical friction and azimuthal currents

By F. Plunian, P. H. Marty & A. Alemany 1835

Orthotropic transform for planar anisotropic elasticity and reduced dependence of elastic constants

By W. Yang & C.-C. Ma 1843

Hydromagnetic stability of current-induced flow in a small gap between concentric

rotating cylinders

By M. H. Chang & C.-K. Chen 1857

A clustered spatial-temporal model of rainfall

By P. Northrop 1875

The regular packing of fibres in three dimensions

By J. G. Parkhouse & A. Kelly 1889

A variational principle for the macroscopic theory of elastic type-II superconductors

By C. S. Yeh & K. C. Chen 1911

Vector rational interpolation algorithms of Burlisch-Stoer-Neville form

By W. L. Sweatman 1923

Global similarity solutions to a class of semilinear parabolic equations: existence, bifurcations and asymptotics

By D. J. Needham & P. G. Chamberlain 1933

Discrete point symmetries of ordinary differential equations

By P. E. Hydon 1961

Dielectric function for a material containing hyperspherical inclusions to O(c2). I.

Multipole expansions

By T. C. Choy, A. Alexopoulos & M. F. Thorpe 1973

Dielectric function for a material containing hyperspherical inclusions to O(c2). II. Method of images

By T. C. Choy, A. Alexopoulos & M. F. Thorpe 1993

Rapid communication

An oscillatory route to extinction for solid fuel combustion waves due to heat losses

By G. N. Mercer, R. O. Weber & H. S. Sidhu 2015

No. 1976 8 August 1998

Iterative subspace correction methods for thin elastic structures and Korn's type inequality in subspaces

By E. E. Ovtchinnikov & L. S. Xanthis 2023

The null-timelike boundary problem for Maxwell's equations in Minkowski space

By R. Balean & R. Bartnik 2041

Contents lll



The far-field Oseen velocity expansion By E. Chadwick 2059

Acoustic analysis of the pressure field in a tunnel generated by entry of a train By N. Sugimoto & T. Ogawa 2083

Measurement of sound generation in thermoacoustic oscillations

By T. Yazaki & A. Tominaga 2113 The writhing of circular cross-section rods: undersea cables to DNA supercoils

By D. M. Stump, W. B. Fraser & K. E. Gates 2123 The critical forms of the attractors for semigroups and the existence of critical attractors

By D. Liu 2157 Contaminant transport in aquifers with spatially variable hydraulic and sorption properties

By V. Cvetkovic, G. Dagan & H. Cheng 2173 On potential flow past wrinkled discs

By P. A. Martin 2209

Integral equation methods in plane-strain elasticity with boundary reinforcement

By P. Schiavone & C. Q. Ru 2223 The phase-corrected undecimated discrete wavelet packet transform and its application to interpreting the timing of events

By A. T. Walden & A. Contreras Cristan 2243 Centre families in two-dimensional complex holomorphic dynamical systems

By D. J. Needham & S. McAllister 2267

No. 1977 8 September 1998

Effect of radial temperature gradient on the stability of flow in a curved channel

By M. A. Ali, H. S. Takhar & V. M. Soundalgekar 2279 Bounds on elastic wave speeds in crystals: theory and applications

By Ph. Boulanger & M. Hayes 2289 Acoustic axes for elastic waves in crystals: theory and applications

By Ph. Boulanger & M. Hayes 2323 The effect of finite-rate heat release on the solidification of an undercooled pure liquid

By J. A. Norris & D. R. Kassoy 2347

Stability and spectra of blow-up in problems with quasi-linear gradient diffusivity By C. Budd & V. Galaktionov 2371

Breather and soliton wave families for the sine-Gordon equation By N. K. Vitanov 2409

The Cesaro behaviour of distributions

By R. Estrada 2425 Statistical geometry in quantum mechanics

By D. C. Brody & L. P. Hughston 2445 Particle nucleation and growth in a free turbulent jet

By T. K. Lesniewski & S. K. Friedlander 2477 Effects of residual stresses on constraint and fracture behaviour of wide plates

By W. G. Xu & F. M. Burdekin 2505

Contents ix



New theory and observations of cell adhesion

By K. Kendall, W. Liang & C. Stainton 2529

No. 1978 8 October 1998

Editorial 2535

Experimental study on chaotic motion of a flooded ship in waves

By S. Murashige & K. Aihara 2537

Macroscopic and microscopic subdivison of a cold-rolled aluminium single crystal of cubic orientation

By Q. Liu & N. Hansen 2555

Construction of trapped modes for wave guides and diffraction gratings

By P. McIver, C. M. Linton & M. McIver 2593

Quasi-incompressible Cahn-Hilliard fluids and topological transitions

By J. Lowengrub & L. Truskinovsky 2617

Geometry and thermodynamic fluctuations of the Ising model on a Bethe lattice

By B. P. Dolan 2655

Burning down the house: the time to ignition of an irradiated solid

By L. K. Forbes & B. F. Gray 2667

Large wave number vortices in time-periodic flows

By P. J. Blennerhassett, J. P. Denier & A. P. Bassom 2689

Generalized weighted mean values with two parameters

By F. Qi 2723

Exponential asymptotics and Stokes lines in nonlinear ordinary differential equations

By S. J. Chapman, J. R. King & K. L. Adams 2733

Can one hear the shape of a smectic drum?

By M. Ben Amar & P. Patrlcio da Silva 2757

The dynamic response of a ballooning yarn: theory and experiment

By J. D. Clark, W. B. Fraser, R. Sharma & C. D. Rahn 2767

No. 1979 8 November 1998

Calculating the impulse and angular impulse of image vorticity by integrals over free

vorticity

By J. C. Wells 2791

Inverted oscillations of a driven pendulum

By M. J. Clifford & S. R. Bishop 2811

A material coordinate treatment of the sea-ice dynamics equations

By L. W. Morland & R. Staroszczyk 2819

On the model-based estimation of backscatter texture from SAR image texture for area-extensive scenes

By M. J. Collins, R. K. Raney & C. E. Livingstone 2859

Transmission of energy down periodically ribbed elastic structures under fluid loading: spatial periodicity in the pass bands

By A. J. Cooper & D. G. Crighton 2893

Topological features of the polarization fields of plane acoustic waves in anisotropic media

Contents x

By A. L. Shuvalov 2911



Rayleigh wave scattering by two adhering elastic wedges By B. V. Budaev & D. B. Bogy 2949

Observation and measurement of an optical Aharonov-Albert-Vaidman effect

By A. D. Parks, D. W. Cullin & D. C. Stoudt 2997 H -control theory of fluid dynamics

By V. Barbu & S. S. Sritharan 3009 Second-order estimates of the self-consistent type for viscoplastic polycrystals

By M. Bornert & P. Ponte Castafieda 3035

No. 1980 8 December 1998

Isoperimetric conjugate points with application to the stability of DNA minicircles

By R. S. Manning, K. A. Rogers & J. H. Maddocks 3047 Three-dimensional integrable lattices in Euclidean spaces: conjugacy and orthogonality

By B. G. Konopelchenko & W. K. Schief 3075 A qualitative analysis of the dynamics of a sheared and pressurized layer of saturated soil

By F. dell' Isola & K. Hutter 3105 Evolution of three-dimensional folds for a non-Newtonian plate in a viscous medium

By H.-B. Miihlhaus, H. Sakaguchi & B. E. Hobbs 3121 An example of non-uniqueness in the two-dimensional linear water-wave problem involving a submerged body

By D. V. Evans & R. Porter 3145 Diffraction by a thick half-plane with an absorbent end face

By A. D. Rawlins & P. Mclver 3167 Nonlinear dynamics of filaments. IV. Spontaneous looping of twisted elastic rods

By A. Goriely & M. Tabor 3183 Partial contact between elastic surfaces with periodic profiles

By W. Manners 3203 Nonlinear shortwave Tollmien-Schlichting instability in a boundary layer on a film-coated wall

By R. I. Bowles, P. Caporn & S. N. Timoshin 3223 A numerical and experimental study of codimension-2 points in a parametrically excited double pendulum

By T. Mullin & P. Jackel 3257

Errata 3275

Indexes 3277

Contents xi



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