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February  2004, 10(1&2): 239-252. doi: 10.3934/dcds.2004.10.239

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

Eduard Feireisl 1, , Françoise Issard-Roch 2, and  Hana Petzeltová 3,

1. 

Institute of Mathematics AS ČR, Žitná 25, 115 67 Praha 1, Czech Republic
2. 

Laboratoire de Mathématique, Analyse Numérique et E.D.P., Bâtiment 425, Université de Paris Sud, 91405 Orsay cedex, France
3. 

Mathematical Institute AV ČR, Žitná 25, 115 67 Praha 1, Czech Republic

Received  June 2001 Revised  October 2002 Published  October 2003

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.
Keywords: Lojasiewicz theorem., Conserved phase field model, convergence.
Mathematics Subject Classification: 35B40, 80A2.
Citation: Eduard Feireisl, Françoise Issard-Roch, Hana Petzeltová. Long-time behaviour and convergence towards equilibria for a conserved phase field model. Discrete and Continuous Dynamical Systems, 2004, 10 (1&2) : 239-252. doi: 10.3934/dcds.2004.10.239
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