September  2005, 4(3): 683-693. doi: 10.3934/cpaa.2005.4.683

Asymptotic behavior of solutions to the phase-field equations with neumann boundary conditions

1. 

Institute of Mathematics, Fudan University, Shanghai 200433, China

Received  September 2004 Revised  May 2005 Published  June 2005

This paper is concerned with the asymptotic behavior of solutions to the phase-field equations subject to the Neumann boundary conditions where a Lojasiewicz-Simon type inequality plays an important role. In this paper, convergence of the solution of this problem to an equilibrium, as time goes to infinity, is proved.
Citation: Zhenhua Zhang. Asymptotic behavior of solutions to the phase-field equations with neumann boundary conditions. Communications on Pure and Applied Analysis, 2005, 4 (3) : 683-693. doi: 10.3934/cpaa.2005.4.683
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