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

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dc.creatorColli, Pierluigi
dc.creatorGilardi, Gianni
dc.creatorPodio-Guidugli, Paolo
dc.creatorSprekels, Juergen
dc.date2009-02-27
dc.date.accessioned2026-07-07T12:47:31Z
dc.date.available2026-07-07T12:47:31Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/0902.4741
dc.identifierhttp://arxiv.org/abs/0902.4741
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221749
dc.subjectAnalysis of PDEs
dc.subject74A15, 35K55, 35A05, 35B40
dc.titleGlobal solution and long-time behavior for a problem of phase segregation of the Allen-Cahn type
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