Geometric Analysis, Elasticity and PDE

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Geometric Analysis, Elasticity and PDE

 23 - 27 Jun 2008
 Heriot Watt University

Scientific Organisers:

  • Jerry Bona, University of Illinois

  • Jack Carr, Heriot-Watt University

  • Richard James, University of Minnesota

  • Jerry Marsden, California Institute of Technology

  • François Murat, Université Pierre et Marie Curie

  • Marshall Slemrod, University of Wisconsin

Local Organising Committee:

  • Tony Carbery, University of Edinburgh

  • Jack Carr, Heriot-Watt University

  • Chris Eilbeck, Heriot-Watt University 

  • Robin Knops, Heriot-Watt University

  • John Toland, University of Bath

2008 sees the 60th birthday of Sir John Ball, FRS, FRSE and we celebrated this occasion during the workshop. Lecture notes and photographs are available here.

Objectives:

  • Mapping new frontiers of research

  • Building bridges between the most recent developments in the general mathematical theory and the areas of applications that have developed most actively in the last few years,

  • Identifying new applications of PDE

Themes:

  • Nonlinear elasticity and liquid crystals

  • Material science; microstructure, minimizer in the presence of symmetry, relation with experiment

  • Calculus of variations

  • Systems of conservation laws

  • Transport equations

  • Biomaterials Dynamical systems methods and the PDEs of mechanics

Speakers:

  • Vladimir Sverak, University of Minnesota - Liouville Theorems for the Navier-Stokes Equations

  • Maria J. Esteban, CEREMADE - Critical Magnetic Field for the Dirac-Coulomb Model

  • Carme Calderer, University of Minnesota - Nonlinear Elasticity and Liquid Crystals in Biological and Biomedical Application

  • Stuart Antman, University of Maryland - Asymptotics of Small Inertias and Large Times in Nonlinear Continuum Mechanics

  • Constantine Dafermos, Brown University - Elastodynamics and John Ball

  • Robert Pego, Carnegie Mellon University - How to Compute the Pressure in Incompressible Viscous Flow with No-Slip Boundary

  • Terry Tao, University of California - Global Regularity of Wave Maps via Harmonic Map Heat Flow

  • Yann Brenier, Université de Nice-Sophia-Antipolis - Convection, Magnetic Relaxation and Optimal Transport

  • Carsten Carstensen, Humboldt-Universität - Computational Challenges in the Calculus of Variations

  • Antonio DeSimone, SISSA - Excellent Swimmers

  • Oliver Penrose, Heriot-Watt University - Statisical Mechanics of Nonlinear Elasticity in the System of Hard Disks

  • Gero Friesecke, University of Warwick - A Mathematical Picture of Basic Aspects of the Periodic Table

  • Bob Kohn, New York University - Cloaking by Change of Variables

  • Stefan Müller, Max Planck Institute for Mathematics - Some Thoughts about Crystals and the Cauchy-Born Rule at Positive Temperature

  • Sergio Conti, Universität Bonn - Patterns in Thin Elastic Sheets

  • Philippe Ciarlet, City University of Hong Kong - Intrinsic Elasticity

  • Nick Schryvers, University of Antwerp - Nano- and Microstructures Charaterized by Transmission Electron Microscopy 

  • Kaushik Bhattacharya, California Institute of Technology - Electronic Structure and Macroscopic Properties of Solids

 

This workshop was supported by the EPSRC, the Maxwell Institute for Mathematical Sciences, the University of Oxford, the LMS and the Edinburgh Mathematical Society.

Participants

Name
Institution
Stefan, AdamsUniversity of Warwick
Stuart, AntmanUniversity of Maryland
John, BallHeriot-Watt University
Peter, BatesMichigan State University
Margaret, BeckHeriot-Watt University
Kaushik, BhattacharyaCalifornia Institute of Technology
Natalia, BochkinaUniversity of Edinburgh
David, BourneUniversity of Glasgow
Yann, BrenierEcole Polytechnique
Ken, BrownHeriot-Watt University
Martin, BurnsUniversity of Strathclyde
Carme, CaldererUniversity of Minnesota
Yves, CapdeboscqUniversity of Oxford
Anthony, CarberyUniversity of Edinburgh
Jack, CarrHeriot-Watt University
Carsten, CarstensenHumboldt-Universität zu Berlin
Isaac, ChenchiahUniversity of Bristol
Kirill, CherednichenkoUniversity of Bath
Miroslav, ChlebikUniversity of Sussex
Adam, ChmajWarsaw University of Technology
Philippe G., CiarletCity University of Hong Kong
Sergio, ContiUniversität Bonn
Daniel, CoutandHeriot-Watt University
Elaine, CrooksUniversity of Swansea
Bernard, DacorognaÉcole Polytechnique Fédérale de Lausanne
Constantine, DafermosBrown University
Fordyce, DavidsonUniversity of Dundee
Penny, DaviesUniversity of Strathclyde
Antonio, DeSimoneScuola Internazionale Superiore di Studi Avanzati
Wlodzimierz, DomanskiPolish Academy of Sciences
Patrick, DondlDurham University
Robert, DouglasAberystwyth University
Dugald, DuncanHeriot-Watt University
Angel, DuranUniversity of Valladolid
J. Chris, EilbeckHeriot-Watt University
Maria J, EstebanUniversité Paris-Dauphine
Jozsef, FarkasUniversity of Stirling
Gilles A., FrancfortUniversité Paris-Nord
Gero, FrieseckeTU Munich
Michael, GrinfeldUniversity of Strathclyde
Mark, HaskinsImperial College London
Duvan, HenaoUniversity of Oxford
Viet Ha, HoangNanyang Technological University
Gunnar, HornigUniversity of Dundee
Peter, HornungUniversity of Bath
Cheng-Hsiung, HsuNational Central University,Taiwan
Wen-Guei, HuNational Chiao Tung University
Richard, JamesUniversity of Minnesota
Abdelouahab, KademUniversity of Setif
Agnieszka, KalamajskaUniversity of Warsaw
Biswajit, KarmakarMax Planck Institute
Abdul Rahim, KhanKing Fahd University of Petroleum and Minerals
Robin, KnopsHeriot-Watt University
Gabriel, KochUniversity of Chicago
Robert V., KohnNew York University
Gerasim, KokarevUniversity of Leeds
Michalis, KontovourkisMax Planck Institute
Konstantinos, KoumatosUniversity of Oxford
Jan, KristensenUniversity of Oxford
Andrew, LaceyHeriot-Watt University
Ben, LeimkuhlerUniversity of Edinburgh
Gabriel, LordHeriot-Watt University
Alex, MahalovArizona State University
Emmanuel, MaitreUniversité de Grenoble
Maroje, MarohnicUniversity of Zagreb
Karsten, MatthiesUniversity of Bath
Christof, MelcherUniversity of Oxford
Roger, MoserUniversity of Bath
Benson, MuiteUniversity of Oxford
Stefan, MüllerMax Planck Institute
François, MuratUniversité Pierre et Marie Curie (Paris VI)
Camil, MuscaluCornell University
Sergiy, NesenenkoDarmstadt University of Technology
Stefan, NeukammTU München
Igor, NeygebauerNational University of Rwanda
Barbara, NiethammerUniversity of Bonn
Michael, OrtizCalifornia Institute of Technology
Christoph, OrtnerUniversity of Warwick
Felix, OttoMax Planck Institute for Mathematics in the Sciences, Leipzig
Iryna, PankratovaNarvik University College
Robert, PegoCarnegie Mellon University
Oliver, PenroseHeriot-Watt University
Mircea, PetracheScuola Normale Superiore
Andrey, PiatnitskiNarvik University College
Andrey, RekaloHeriot-Watt University
David, RuleUniversity of Edinburgh
Bryan, RynneHeriot-Watt University
Witold, SadowskiUniversity of Warwick
Dominique (Nick), SchryversUniversity of Antwerp
Yasemin, SengulUniversity of Oxford
Gregory, SereginUniversity of Oxford
Hélia, SerranoUniversidad de Castilla-La Mancha
Eugene, ShargorodskyKing's College London
Michael, ShearerNorth Carolina State University
Michael, SingerUniversity College London
Jeyabal, SivaloganathanUniversity of Bath
Valeriy, SlastikovUniversity of Bristol
Marshall, SlemrodUniversity of Wisconsin
Wolfgang, StaubachHeriot-Watt University
Philipp Emanuel, StelzigTU München/Università di Trento
Pawel, StrzeleckiUniversity of Warsaw
Endre, SuliUniversity of Oxford
Vladimir, SverakUniversity of Minnesota
László, SzékelyhidiLeipzig University
Ali, TaheriUniversity of Sussex
Josip, TambacaUniversity of Zagreb
Antoine, TambueHeriot-Watt University
Terence, TaoUniversity of California at Los Angeles
John, TolandIsaac Newton Institute for Mathematical Sciences
Basang, TseringUniversity of Oxford
Igor, VelcicUniversity of Zagreb
David, WagnerUniversity of Houston
Stephen, WatsonUniversity of Glasgow
Tzi-Sheng, YangTunghai University
Ting-Hui, YangTamkang University
Arghir, ZarnescuUniversity of Sussex
Kewei, ZhangUniversity of Swansea