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arXiv:0902.4741 [math.AP]AbstractReferencesReviewsResources

Global solution and long-time behavior for a problem of phase segregation of the Allen-Cahn type

Pierluigi Colli, Gianni Gilardi, Paolo Podio-Guidugli, Juergen Sprekels

Published 2009-02-27Version 1

In this paper we study a model for phase segregation consisting in a sistem of a partial and an ordinary differential equation. By a careful definition of maximal solution to the latter equation, this system reduces to an Allen-Cahn equation with a memory term. Global existence and uniqueness of a smooth solution are proven and a characterization of the omega-limit set is given.

Categories: math.AP
Subjects: 74A15, 35K55, 35A05, 35B40
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