Differential Geometry and Continuum Mechanics

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Differential Geometry and Continuum Mechanics

 17 - 21 Jun 2013

ICMS, 15 South College Street Edinburgh

Organiser:

  • Robin J Knops, Heriot-Watt University

Scientific Organisers:

  • Jack Carr, Heriot-Watt University
  • Gui-Qiang Chen, University of Oxford
  • Michael Grinfeld, University of Strathclyde
  • Robin J Knops, Heriot-Watt University
  • Jason Reese, University of Strathclyde

About:

The cross-fertilisation between continuum mechanics, differential geometry and the theory of partial differential equations has been a recurring theme in the 20th Century. The present century sees a further development of the relations between these areas, covering topics as diverse as isometric embeddings, partial differential equations of mixed type, growth and shape evolution in biological systems and defects in continua with microstructure.

Photographs from the workshop, including the public lecture, can be found here.

Speakers:

  • Amit Acharya, Carnegie Mellon University - What is Fundamental - Gauge Fields or Gauge Invariance? A Perspective From Modelling Defects in Continuum Mechanics

  • Ken Badcock, University of Liverpool - Transonic Aeroelastic Stability and Gust Load Prediction

  • Kaushik Bhattacharya, California Institute of Technology - Peeling Adhesive Tape: a Case Study for Understanding the Effective Properties of Heterogenous Materials

  • Richard Brown, University of Strathclyde - Future Shock - Aerodynamic Design for the Next Generation of Reusable Spacecraft

  • Gianfranco Capriz, University of Pisa - A Fibre Bundle as the Ether Within which Bodies are Modelled in Continuum Mechanics

  • Jeanne Clelland, University of Colorado - Sub-Finsler Geometry in Dimensions Three and Four

  • Constantine Dafermos, Brown University - BV Solutions for Hyperbolic Systems of Balance Laws with Relaxation

  • Jamie Davies, University of Edinburgh - The Origami of the Living Embry

  • Marcelo Epstein, University of Calgary - A Mini Course in Differential Geometry

  • Eliot Fried, McGill University - Microphysical Derivation of the Canham--Helfrich Free-Energy Density

  • Qing Han, University of Notre Dame - The Compactness of Alexandrov-Nirenberg Surfaces

  • Raz Kupferman, Hebrew University - Metric Description of Defects in Solids

  • Marta Lewicka, University of Pittsburgh - Sobolev Isometries on Surfaces and Non-Euclidean Elasticity

  • L Mahadevan, Harvard University - Simple Aspects of Morphogenesis

  • Christinel Mardare, Université Paris Marie Curie - Static Elasticity in a Riemannian Manifold

  • Roger Moser, University of Bath - Singular Perturbation Problems Involving Curvature

  • Wolfgang Müller, TU Berlin - Are Higher Gradient Theories of Elasticity Amenable to Experiments?

  • Thomas Otway, Yeshiva University - A Mini Course on Elliptic-Hyperbolic Equations

  • Jason Reese, University of Strathclyde - Down the Rabbit Hole: the Science and Technology of Molecular Engineering

  • Reuven Segev, Ben-Gurion University - Notes on Metric Independent Continuum Mechanics

  • Marshall Slemrod, University of Wisconsin - Entropy, Elasticity and the Isometric Embedding Problem: M3 →R6

  • Luc Tartar, Carnegie Mellon University - Compensated Compactness with More Geometry

  • Arash Yavari, Georgia Institute of Technology - Weyl Geometry and the Nonlinear Mechanics of Distributed Point Defects

  • Epifanio Virga, University of Pavia - Curvature Potentials for Defects on Nematic Shells

  • Slobodan Zumer, Ljubljana University - Geometry and Topology of Complex Soft Matter

Sponsors and Funders:

The workshop was supported by:

The Centre for Analysis and Nonlinear PDEs, The Oxford Centre for Nonlinear PDE, The London Mathematical Society, Bridging the Gap, The Glasgow Mathematical  Journal Trust and ICMS.