Asymptotic behavior of solutions to the phase-field equations with Neumann boundary condi\-tions (Q2583078)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior of solutions to the phase-field equations with Neumann boundary condi\-tions |
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Asymptotic behavior of solutions to the phase-field equations with Neumann boundary condi\-tions (English)
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13 January 2006
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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.
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Lojasiewicz-Simon type inequality
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gradient system
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