Long-time behaviour and convergence towards equilibria for a conserved phase field model

Eduard Feireisl; Françoise Issard-Roch; Hana Petzeltová

doi:10.3934/dcds.2004.10.239

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2004, Volume 10, Issue 1&2: 239-252. Doi: 10.3934/dcds.2004.10.239

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Long-time behaviour and convergence towards equilibria for a conserved phase field model

1.
Institute of Mathematics AS ČR, Žitná 25, 115 67 Praha 1
2.
Laboratoire de Mathématique, Analyse Numérique et E.D.P., Bâtiment 425, Université de Paris Sud, 91405 Orsay cedex
3.
Mathematical Institute AV ČR, Žitná 25, 115 67 Praha 1

Received: June 2001

Revised: October 2002

Published: January 2004

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Abstract

We prove convergence towards an equilibrium state for any globally defined solution for a conserved phase field model. A generalized version of the Lojasiewicz-Simon theorem is used.

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Mathematics Subject Classification: 35B40, 80A22.

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