Asymptotic behavior of solutions to the phase-field equations with neumann boundary conditions
Zhenhua Zhang - Institute of Mathematics, Fudan University, Shanghai 200433, China (email)
Abstract: 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.
Keywords: Phase-field equations, Lojasiewicz-Simon type inequality, gradient
Received: September 2004; Revised: May 2005; Available Online: June 2005.
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