Discrete and Continuous Dynamical Systems - Series A (DCDS-A)

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

Pages: 239 - 252, Volume 10, Issue 1/2, January/February 2004      doi:10.3934/dcds.2004.10.239

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Eduard Feireisl - Institute of Mathematics AS ČR, Žitná 25, 115 67 Praha 1, Czech Republic (email)
Françoise Issard-Roch - Laboratoire de Mathématique, Analyse Numérique et E.D.P., Bâtiment 425, Université de Paris Sud, 91405 Orsay cedex, France (email)
Hana Petzeltová - Mathematical Institute AV ČR, Žitná 25, 115 67 Praha 1, Czech Republic (email)

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.

Keywords:  Conserved phase field model, convergence, Lojasiewicz theorem.
Mathematics Subject Classification:  35B40, 80A22.

Received: June 2001;      Revised: October 2002;      Available Online: October 2003.