Long time convergence for a class of variational phase field models

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dc.creatorColli, Pierluigi
dc.creatorHilhorst, Danielle
dc.creatorIssard-Roch, Francoise
dc.creatorSchimperna, Giulio
dc.date2008-01-17
dc.date.accessioned2026-07-07T08:55:00Z
dc.date.available2026-07-07T08:55:00Z
dc.descriptionIn this paper we analyze a class of phase field models for the dynamics of phase transitions which extend the well-known Caginalp and Penrose-Fife models. Existence and uniqueness of the solution to the related initial boundary value problem are shown. Further regularity of the solution is deduced by exploiting the so-called regularizing effect. Then, the large time behavior of such a solution is studied and several convergence properties of the trajectory as time tends to infinity are discussed.
dc.identifierhttps://arxiv.org/abs/0801.2658
dc.identifierhttp://arxiv.org/abs/0801.2658
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146142
dc.subjectAnalysis of PDEs
dc.subject35B40, 35K45, 80A22
dc.titleLong time convergence for a class of variational phase field models
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