Tuesday, May 25

Pattern Formation in the Cahn-Hilliard Model - Part I of II

10:00 AM-12:00 PM
Room: Superior A

For Part II, see CP37.

In the forty years since its introduction, the Cahn-Hilliard model has proved its ability to exhibit pattern formation and phase separation phenomena like those being observed in binary metallic alloys. Therefore, understanding the dynamical behavior of the model is of immediate interest in materials sciences. While existing mathematical results for the one-dimensional model provide a fairly complete picture of its rich dynamics, most of the current research focuses on the physically more relevant two- and three-dimensional models, as well as their discrete and multi-component counterparts. The talks in the minisymposium will cover a broad spectrum of these recent studies.

Organizers: Stanislaus Maier-Paape
Georgia Institute of Technology
Thomas Wanner
University of Maryland, Baltimore County

10:00-10:25 The Motion of the Bubble Towards the Boundary
Nicholas Alikakos, University of Tennessee, Knoxville
10:30-10:55 Multi-Spike Solutions to the Cahn-Hilliard Equation
Peter Bates, Brigham Young University; and Giorgio Fusco, Università di L'Aquila
11:00-11:25 Cascades of Instability in the Solutions of Vector-Valued Cahn-Hilliard Equations
David J. Eyre, University of Utah
11:30-11:55 Pattern Formation in Gradient Systems
Paul Fife, University of Utah; and Michal Kowalczyk, Carnegie-Mellon University

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LMH, 1/11/99, MMD, 2/9/99