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Asymptotic behavior of solutions to the phase-field equations with Neumann boundary conditions. (English) Zbl 1082.35033
The main result of the paper establishes that the global solution to the phase-field problem with Neumann boundary condition converges to an equilibrium as time goes to infinity. The basic tool in the proof consists of a Lojasiewicz-Simon type inequality.

MSC:
35B40 Asymptotic behavior of solutions to PDEs
35K20 Initial-boundary value problems for second-order parabolic equations
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