Monday, May 12

10:30 AM-12:10 PM
Benjamin West A Room

Dynamics and Singular Perturbations in Phase Transitions (Part I of II)

The subject of this minisymposium is generation and evolution of patterns during phase transitions in reactive-diffusive and/or elastic media with emphasis on surface tension related phenomena, and on the detailed geometry of interfaces, for realistic models.

The evolution of the microstructure (morphology, size, spatial distribution of phases) during a phase transition determines the structure and physical properties of the resulting material. It is, therefore, of paramount importance for prediction, control, and design of materials with desired properties.

Research efforts have concentrated mostly on statics and numerics. A better understanding of dynamics will advance significantly our theoretical understanding of stable dynamic microstructures and will enhance both modeling and numerical simulation of materials processing.

Organizers: Nicholas D. Alikakos, University of Tennessee, Knoxville; and Peter W. Bates, Brigham Young University

10:30-10:50 Nonlocal Models for the Generation and Propagation of Phase Boundaries
Peter W. Bates, Organizer
10:55-11:15 Global Asymptotic Limit of Solutions of the Cahn-Hilliard Equations
Xinfu Chen, University of Pittsburgh
11:20-11:40 Paul C. Fife Cancelled - Replaced by:
Interior Spike Layers in Semilinear Elliptic Problems with One-Sided Nonlinearity
Michal Kowalczyk, University of Minnesota, Minneapolis
11:45-12:05 Interface Dynamics in Phase Transitions
Panagiotis E. Souganidis, University of Wisconsin, Madison

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MMD, 5/9/97