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Training Course: Pattern Formation in Large Domains

1st August 2005 to 5th August 2005

Organiser: Dr Jonathan Dawes (Cambridge).

Supported by the European Commission, Sixth Framework Programme - Marie Curie Conferences and Training Courses - MSCF-CT-2004-516558

Course Theme

Pattern forming systems are widely found in nature and the laboratory: for example in sand dunes, lasers, flame fronts, surface catalysis and the visual cortex, as well as a whole host of fluid mechanical processes. The best known examples are thermal convection and travelling waves and spirals in chemical reactions. Experimental work and the theoretical study of nonlinear differential equations continue to reveal a wealth of unexpected phenomena in the behaviour of these nonlinear systems. This training course will introduce the appropriate mathematical techniques necessary to understand and describe the behaviour of mathematical models for such phenomena, and will illustrate their use (and successes and failures) in a variety of contexts.

Structure

There will be three series of lectures:

  1. Pattern formation in spatially extended systems. Mike Cross (Caltech), Rebecca Hoyle (Surrey)
  2. Symmetric bifurcation theory. Jonathan Dawes (Cambridge)
  3. Numerical methods. Dwight Barkley (Warwick), Laurette Tuckerman (LIMSI-CNRS, Orsay)

Lectures will be complemented by problem-solving classes. In addition to the lecture courses three distinguished senior scientists will give Guest Lectures: Guenter Ahlers (UC Santa Barbara), Robert Ecke (Los Alamos) and Martin Golubitsky (Houston).

The course is aimed at research students and post-docs working in applied mathematics, particularly those working on nonlinear systems or continuum mechanics.

University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons