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The asymptotic behavior of solutions to a phase-field system with Neumann boundary conditions. (Chinese. English summary) Zbl 1090.35037

Summary: The asymptotic behavior of the solution to the phase-field equations is obtained by using a Simon-Lojasiewicz type inequality. One of the features of the problem is that the stationary problem involves a nonlocal term.

MSC:

35B40 Asymptotic behavior of solutions to PDEs
35K50 Systems of parabolic equations, boundary value problems (MSC2000)
35K55 Nonlinear parabolic equations
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