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Long-time convergence of solutions to a phase-field system

✍ Scribed by Sergiu Aizicovici; Eduard Feireisl; Françoise Issard-Roch

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
101 KB
Volume
24
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We prove that any global bounded solution of a phase field model tends to a single equilibrium state for large times though the set of equilibria may contain a nontrivial continuum of stationary states. The problem has a partial variational structure, specifically, only the elliptic part of the first equation represents an Euler–Lagrange equation while the second does not. This requires some modifications in comparison with standard methods used to attack this kind of problems. Copyright © 2001 John Wiley & Sons, Ltd.

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