Attractors for gradient flows of non convex functionals and applications

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dc.creatorRossi, Riccarda
dc.creatorSegatti, Antonio
dc.creatorStefanelli, Ulisse
dc.date2007-05-31
dc.date.accessioned2026-07-07T08:03:41Z
dc.date.available2026-07-07T08:03:41Z
dc.descriptionThis paper addresses the long-time behavior of gradient flows of non convex functionals in Hilbert spaces. Exploiting the notion of generalized semiflows by J. M. Ball, we provide some sufficient conditions for the existence of a global attractor. The abstract results are applied to various classes of non convex evolution problems. In particular, we discuss the long-time behavior of solutions of quasi-stationary phase field models and prove the existence of a global attractor.
dc.description46 pages
dc.identifierhttps://arxiv.org/abs/0705.4531
dc.identifierhttp://arxiv.org/abs/0705.4531
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129670
dc.subjectAnalysis of PDEs
dc.subject37L30; 35K55; 80A22
dc.titleAttractors for gradient flows of non convex functionals and applications
dc.typetext

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