AMCA: Global Description of Patterns Far From Onset: A Case Study. by Thierry Passot

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Workshop on Patterns in Physics
November 14-18, 2003
The Fields Institute
Toronto, ON, Canada

Organizers
R. Almgren, N. Ercolani, D. Henderson, J. Lega, M. Pugh

Global Description of Patterns Far From Onset: A Case Study.
by
Thierry Passot
Observatoire de la Cote d'Azur
Coauthors: N. Ercolani, R. Indik, A.C. Newell

The Cross-Newell phase diffusion equation and its regularization describe patterns and defects far from onset in large aspect ratio systems with translational and rotational symmetry. We shall show how director field solutions of this equation can be used to describe features of global patterns. The ideas are illustrated in the context of a nontrivial case study of high Prandtl number convection in a large aspect ratio, shallow, elliptical container with heated sidewalls, for which we also have the results of simulation and experiment.

Date received: October 3, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # camh-16.