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PCC99, Phase Change with Convection: modelling and validation
June 24-26, 1999
European Science Foundation, Applied Mathematics for Industrial Flow Problems
Warsaw, Poland

Organizers
Tomasz Kowalewski, Fulvio Stella, Jerzy Banaszek, Janusz Szmyd

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Existence of solutions to a phase field model for the isothermal solidification process of a binary alloy
by
Jacques Rappaz
Swiss Federal Institute of Technology, EPFL, Lausanne
Coauthors: J.F. Scheid.

KEYNOTE LECTURE

In this presentation we investigate the well-posedness of a phase-field model for the isothermal solidification of a binary alloy due to Warren-Boettinger. Existence of a week solution as well as regularity and uniqueness results are estalished under Lipschitz and boundeness assumptions for the nonlinearities. A maximum principle holds that guarantees the existence of a solution under physical assumptions on the nonlinearities.

Date received: April 14, 1999

Copyright © 1999 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 Conferences Inc. Document # caco-29.