Irene, US-China 2009

8/14/2019 Irene, US-China 2009

1/44

About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational

Center for Nonlinear Analysis

Since 1991

Funded by the National Science Foundation

Irene Fonseca, Director

Department of Mathematical SciencesCenter for Nonlinear Analysis

Carnegie Mellon University
http://find/http://goback/


2/44


Faculty

Management:Irene Fonseca (PI), DirectorRobert Pego (Co-PI), Associate Director Other Co-PIs:

David KinderlehrerGiovanni LeoniNoel Walkington Other Permanent Faculty: James Greenberg, Morton Gurtin,

William Hrusa, Gautam Iyer, Roy Nicolaides, David Owen, AgostonPisztora, Kavita Ramanan, Jack Schaeffer, Robert Sekerka, DejanSlepcev, Shlomo Taasan and William Williams 8-10 postdocs, a few graduate students with full fellowships


3/44


Faculty


David KinderlehrerGiovanni LeoniNoel Walkington Other Permanent Faculty: James Greenberg, Morton Gurtin,William Hrusa, Gautam Iyer, Roy Nicolaides, David Owen, AgostonPisztora, Kavita Ramanan, Jack Schaeffer, Robert Sekerka, DejanSlepcev, Shlomo Taasan and William Williams 8-10 postdocs, a few graduate students with full fellowships


4/44


Faculty


David KinderlehrerGiovanni LeoniNoel Walkington Other Permanent Faculty: James Greenberg, Morton Gurtin,William Hrusa, Gautam Iyer, Roy Nicolaides, David Owen, AgostonPisztora, Kavita Ramanan, Jack Schaeffer, Robert Sekerka, DejanSlepcev, Shlomo Taasan and William Williams 8-10 postdocs, a few graduate students with full fellowships

Ab h CNA G l f h CNA A f R h f F d i l M h i A li d M h i C i l


5/44


Former Postdocs

Central to CNA: postdoctoral education and training.

Rustum Choksi (Simon Fraser), Antonio De Simone (SISSA),Georg Dolzmann (U. Maryland and U. of Regensburg), MariaEmelianenko (George Mason), Gero Friesecke (U. of Warwickand U. of Munich), Wilfrid Gangbo (Georgia Tech), RobertJerrard (U. of Toronto), Michal Kowalczyk (U. Chile), GiovanniLeoni (CMU), Chun Liu (Penn State), Vincent Millot (U.

Cergy-Pontoise), Massimiliano Morini (SISSA), Stefan Muller(former Director, Max Planck Institute for Mathematics in theSciences, Leipzig), Felix Otto (Director, Hausdorff Center forMathematics, U. of Bonn), Konstantina Trivisa (U. of Maryland).

Ab t th CNA G l f th CNA A f R h f F d ti l M th ti t A li d M th ti t C t ti l


6/44


To sustain its leadership in the areas of Calculus of Variations

and PDEs;

To maintain its position as a worldwide asset in the educationof young investigators cognizant of research opportunities atthe broad interface between mathematics and physical

sciences and engineering;To identify cutting-edge mathematical questions in scienceand engineering, including materials science andbiotechnology;

To continue developing international partnerships andcooperation agreements, which play a vital part in the CNAprogram and in the enhancement of the scientific training andresearch activities of the Center.



7/44



and PDEs;






8/44



and PDEs;






9/44



and PDEs;






10/44


Imaging

Inpainting (recolorization)

Frescoes of Andrea Mantegna, Ovetari Chapel of the

Eremitanis Church, Padova (Italy); destroyed by

bombing in WWII

Z(u) dx+

ZD

|L(u)v|pdx+

Z\D

|uu|pdx



11/44

pp p

Foams

Surf(ace) Act(ive) A(ge)nt

F(u, ) :=

1

f(u) + |u|2 + ( |u|)

2

dx+()

||2 dx



12/44

pp p

Epitaxially Strained Crystalline Films; Quantum Dots

F (u, h) :=

h

W (E (u) (x) E0 (y)) dx +

h

0 (y) dH1 (x) ,



13/44

Etc.

Thin Structures/Films; 3D 2D, 3D 1D dimensionreduction

Micromagnetics, Ferromagnetics

Dislocations and Other Defects

Multiscale Problems, Homogenization

Etc.



14/44

Etc.





Etc.



15/44

Etc.





Etc.



16/44

Etc.





Etc.



17/44

Etc.





Etc.



18/44

Mathematics and Materials Collaboration

Grain boundaries; interface dynamics, surface motion by surfacediffusion

Orientation imaging mi-croscope of (Ni) nickelscale: grains are diame-ter = 200 microns

(CMU MRSEC)



19/44

Dynamics of Energy-Driven Systems

Coarsening in thin polymer films

Process is similar to Ostwald ripening, but since droplets grow in height

the system is not scaling invariant.Rigorous bounds on rate of coarsening

High mobility of droplets results in collision of droplets as a newmechanism of coarsening.



20/44

Mesh Generation Algorithms

Liquid crystals, polymer and biological fluids

1 0.8 0.6 0.4 0.2 0 0.2 0.4 0.6 0.8 11

0.8

0.6

0.4

0.2

0

0.2

0.4

0.6

0.8

1

Section Through z = 0

Time = 0.0000



21/44

Complex Materials

Three dimensional meshing algorithms are under development



22/44

Immune Response

Mathematical modeling of immune response to biodefensepathogens

A

pivotal player in the immune system - a dendritic cell



23/44

advanced topics coursesworking groups

workshops and conferences

visitors program

seminar seriesscientific report series

summer schools

outreach: Summer Undergraduate Applied Mathematics

Institute (SUAMI)interchange, mobility and internationalization



24/44

2003-2009 Workshops and Conferences

Young researchers are invited to present contributed talks that runon parallel sessions, and are encouraged to apply for financialsupport.



25/44

Frontiers of Applied Analysis

Douglas ArnoldHenri BerestyckiHaim BrezisEmmanuele DiBenedettoWeinan E

Ivar EkelandWilli JagerBarbara KeyfitzGregory LawlerFang-Hua Lin

Pierre-Louis LionsAndrew MajdaHiroshi MatanoLouis NirenbergStanley Osher

Frontiers ofApplied Analysis

The list of speakers includes:Douglas Arnold (University of Minnesota)Henri Berestycki (cole des Hautes tudes en Sciences Sociales)Haim Brezis (Rutgers University)Emmanuele DiBenedetto (Vanderbilt University)

Weinan E (Princeton University)Ivar Ekeland (Pacific Institute for the Mathematical Sciences, Vancouver)Willi Jger (University of Heidelberg)Barbara Keyfitz (Fields Institute)Gregory Lawler (Cornell University)Fang-Hua Lin (Courant Institute)Pierre-Louis Lions (Collge de France)Andrew Majda (Courant Institute)Hiroshi Matano (University of Tokyo)Louis Nirenberg (Courant Institute)Stanley Osher (University of California, Los Angeles)

Advanced undergraduate students, graduate students, and postdoctoral fellows ar e encouraged to applyfor financial support. The deadline for applications is June 15, 2005.

Graduate students, postdocs and scientists with a recent Ph.D. degree are encouraged to contribute apresentation for this conference. The deadline for submission of contributed abstracts is June 30, 2005.

http://www.math.cmu.edu/cna

Organizers: Irene Fonseca, David Kinderlehrer, Roy Nicolaides, Robert Pego, Shlomo Taasan

This conference is sponsored by the National Science Foundation,the Office of Naval Research,the Office of Naval Research Global,and theDepartment of Mathematical Sciences at Carnegie Mellon University.

A Conference on the Occasion of the 15th Anniversary of theCenter for Nonlinear Analysis

Carnegie Mellon University, Pittsburgh, PA

September 810, 2005

CarnegieMe

llonU

nive

rsit

y

ABrownianmotionpathonthep

lane,byG

regory

F.

Lawle

r.

Two

-

phased

incom

pressibleNavier-Stokessplash

using

Osher-

Sethi

an

le

ve

l

se

t

method,

by

R.

Fe

dki

wetal

.

Acryst

allitefroma3Dgraingrowthsimu

latio

n,D

.Kin

derleh

rer

,

S.

Ta

asa

net

al

.

AndrewCarnegie,fo

unde

rofC

arn

egie

Me

llo

nU

n i

ver

stiy

Pittsburg

h,PA



26/44

US-Chile Workshops: New Developments in Partial

Differential Equations I

Xinfu ChenGianni Dal MasoJuan DavilaManuel Del PinoJean DolbeaultPatricio Felmer

Irene FonsecaMarta Garcia-HuidobroIgnacio GuerraDavid KinderlehrerMike KowalczykGiovanni LeoniRaul ManasevichJuan ManfrediSalome Martinez

Alexander QuaasPhilippe SoupletCecilia Yarur



27/44

Workshop: New Trends in Calculus of Variations and Mass

Transport

Alberto BressanAlmut BurchardIrene FonsecaNicola FuscoPiotr HajlasTadeusz IwaniecRobert Jerrard

David KinderlehrerPekka KyskelaJan MalyRobert McCannMassimiliano MoriniJani OnninenAldo PratelliDejan Slepcev

Alberto Bressan, Penn State UniversityAlmut Burchard, University of Toronto, Toronto, Canada

Irene Fonseca, Carnegie Mellon UniversityNicola Fusco, University of Naples, Naples, Italy

Piotr Hajlasz,Tadeusz Iwaniec, Syracuse University

Robert Jerrard, University of Toronto, Toronto, CanadaDavid Kinderlehrer,

Carnegie Mellon UniversityPekka Koskela, University of Jyvaskyla,

Jyvaskyla, FinlandJan Mal, Charles University, Prague, Czech Republic

Robert McCann, University of Toronto,Toronto, Canada

Massimiliano Morini, SISSA,Trieste, Italy

Jani Onninen, Syracuse University

Aldo Pratelli, University of Pavia, Pavia, ItalyDejan Slepev, Carnegie Mellon University

Centerfor NonlinearAnalysisCarnegie MellonUniversity

Department of MathematicalScience s

and theNational ScienceFoundation.

Nicola Fusco and Giovanni Leoni



28/44

Workshop: Workshop on Energy-Driven Systems

Giovanni Bellettini

Rustum ChoksiInwon KimMarta LewickaChun LiuGovin MenonAlexander MielkeCyrill MuratovMark PeletierMatias Roger

Maria WestdickenbergMichael WestdickenberAndrej Zlatos



29/44

2001 Multiscale Problems in Nonlinear Analysis

Gianni Dal MasoIrene FonsecaRichard JamesDavid KinderlehrerShlomo TaasanLuc TartarLev TruskinovskyNoel WalkingtonDieter Wolf



30/44

2004 Advances in Nonlinear Analysis

Luigi AmbrosioMaria-Carme CaldererWilfrid GangboNassif Ghoussoub

Irene FonsecaStefan Muller


2006 P b bili i d A l i l P i


31/44

2006 Probabilistic and Analytical Perspectives on

Contemporary

Krzysztof BurdzyCarlos KenigRicardo NochettoPanagiotis SouganidisSrinivasa Varadhan

2006 CNA Summer SchoolProbabilistic and Analytical Perspectiveson Contemporary PDEs

Center for Nonlinear AnalysisCarnegie Mellon University, Pittsburgh, PA

May 29 June 6, 2006

Graduate students and postdocs are encouraged to contribute a presentation for thisconference.The deadline for submission of contributed abstracts is March 1, 2006.

Advanced undergraduate students, graduate students, and postdoctoral fellows are encouraged

to apply for financial support.The deadline for applications is March 15, 2006.

Center for Nonlinear Analysis

Carnegie Mellon UniversityDepartment of Mathematical Sciences

Pittsburgh, PA 15213

Telephone:412-268-2545

Fax: 412-268-6380

email: [email protected] http://www.math.cmu.edu/cna/Summer06

Topics will cover:

Essential uses of probability in analysis

Quantitative unique continuation for elliptic, parabolicand dispersive equations, and applications

Adaptive finite element methods for elliptic PDEs

Fully nonlinear stochastic partial differential equationsand applications

Interacting particle systems and their scaling limits

List of lecturers:Krzysztof Burdzy, University of Washington

Carlos Kenig, University of ChicagoRicardo Nochetto, University of Maryland

Panagiotis Souganidis, University of Texas at AustinSrinivasa Varadhan, New York University

Organizers:Irene Fonseca, Giovanni Leoni,

Robert Pego, Kavita Ramanan

This conference is sponsoredbythe National Science Foundation andthe Departmentof Mathematical Sciences at

Carnegie Mellon University.



32/44

2008 Contemporary Topics in Nonlinear PDEs

Ivar EkelandRobert KohnClaude Le BrisFelix OttoBenoit Perthame

and

Goran PeskirAlbert Shiryaev

2008 CNA Summer SchoolContemporary Topics in Nonlinear PDEs

Center for Nonlinear AnalysisCarnegie Mellon University, Pittsburgh, PA

May 29 June 7, 2008

Graduate students and postdocs are encouraged to contribute a presentation for this

conference.The deadline for submission of contributed abstracts is March 1, 2008.

Advanced undergraduate students, graduate students, and postdoctoral fellows are

encouraged to apply for financial support.The deadline for applications is March 15, 2008.

Center for Nonlinear AnalysisCarnegie Mellon University

Department of Mathematical Sciences

Pittsburgh, PA 15213

Telephone:412-268-2545

Fax: 412-268-6380

email: [email protected]

Lecturers and Topics:

Ivar Ekeland, University of British Columbia Demand functions and the structure of economic theory

Robert Kohn, Courant Institute, New York University Energy-driven pattern formation

Claude Le Bris, cole Nationale des Ponts et Chausses From molecular theories to continuum elasticity: a possible track

Felix Otto, University of Bonn Some PDE problems from materials science

Benoit Perthame, Universit Pierre et Marie Curie Growth processes and physiologically structured dynamics

The Summer School will be held concurrentlywith the Heath Lectures on Probability and

Mathematical Finance given byGoran Peskir, University of Manchester and

Albert Shiryaev, Moscow University.

Organizers:Irene Fonseca, David Kinderlehrer,

Dmitry Kramkov, Giovanni Leoni,Robert Pego, Dejan Slepcev,

Shlomo Taasan, Noel Walkington

This conference is sponsoredbythe Departmentof Mathematical Sciences andCenter ofComputational Finance at

Carnegie Mellon Universityandthe National Science Foundation.

http://www.math.cmu.edu/cna/Summer08 A grain ofbrass, diameterabout1 cm, separatedfroman ingot.Fromthe collection ofW.W. Mullins.

Simulation ofsingularitiesin a nematic liquidcrystal. Directorfiledsuperimposedupon the viewthrough cross polarizers (Walkington).

Model ofcoarsening in thin liquidfilms; aconfiguration earlyin the coarsening stage (Otto, Rump, and Slepcev).

1 0.8 0.6 0.4 0.2 0 0.2 0.4 0.6 0.8 11

0.8

0.6

0.4

0.2

0

0.2

0.4

0.6

0.8

1

Section Through z =0

Time = 0.0000


O h


33/44

Outreach

Focuses on undergraduate African-Americans, Hispanics, women,and other under-represented groups, and on students from smalleruniversities and colleges.


N ki


34/44

Networking

Searching for new opportunities

Facilitating already existing collaborationsFostering the building of new bridges across different institutions inthe US, South America, Europe . . . and China?Encouraging mobility and internationalizationTraining coming generations of globally competent youngresearchers

8 institutions network (CMU is the lead) with Courant(NYU), U. Minnesota, Caltech, U. Antwerp (Belgium), U.

Bonn (Germany), U. Oxford (UK), SISSA (Italy) onMathematics, Mechanics and Materials Science Pattern Formation From Energy Minimization Challenges in Atomistic to Continuum Modeling andComputing

Pattern Dynamics and Evolution of Material Microstructure


N ki


35/44

Networking







N t ki


36/44

Networking







N t ki


37/44

Networking







More on Net orking


38/44

More on Networking

International School for Advanced Studies (SISSA) in Trieste

European TMR on Phase Transitions on Crystalline Solids.Italy, France, UK, Germany, and The NetherlandsPIMS (Pacific Institute for the Mathematical Sciences,Vancouver, Banff International Research Station, Canada)Max Planck Institute for Mathematics in the Sciences in

Leipzig, GermanyThe Mathematical Institute at the University of OxfordApplied Mathematics ICTI Program: A joint CMU-PortugalPhD and Postdoctoral Program in Applied Analysis and inProbability, Stochastic Analysis and their ApplicationsInformation and Communication Technologies Institute: 5years, 77 million dollars. ICTI Program2002 Agreement on Cultural Cooperation (graduate studentsand research faculty mobility and interchange) with the

Universities of Firenze (Italy), Roma Tor Vergata (Italy),


More on Networking
http://icti.math.cmu.edu/index.htmlhttp://icti.math.cmu.edu/index.htmlhttp://find/http://goback/


39/44

More on Networking






More on Networking


40/44

More on Networking






More on Networking


41/44

More on Networking






More on Networking


42/44

More on Networking






More on Networking


43/44

More on Networking






More on Networking


44/44

More on Networking





Date post:	30-May-2018
Category:	Documents
Upload:	materials-research-institute
View:	216 times
Download:	0 times

Irene, US-China 2009

Documents