Geometric Analysis, Elasticity and PDE

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Geometric Analysis, Elasticity and PDE

 23 - 27 Jun 2008

Heriot-Watt University

  • 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

About:

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 was 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

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

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

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

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

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

Philippe Ciarlet, City University of Hong Kong - Intrinsic Elasticity

Sergio Conti, Universität Bonn - Patterns in Thin Elastic Sheets

Constantine Dafermos, Brown University - Elastodynamics and John Ball

Antonio DeSimone, SISSA - Excellent Swimmers

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

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

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

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

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

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

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

Sponsors and Funders:

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