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arXiv · 0705.3362

Convergence to Equilibrium for the Cahn-Hilliard Equation with Wentzell Boundary Condition

Hao Wu
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Abstract

In this paper we consider the Cahn-Hilliard equation endowed with Wentzell boundary condition which is a model of phase separation in a binary mixture contained in a bounded domain with permeable wall. Under the assumption that the nonlinearity is analytic with respect to unknown dependent function, we prove the convergence of a global solution to an equilibrium as time goes to infinity by means of a suitable Łojasiewicz-Simon type inequality with boundary term. Estimates of convergence rate are also provided.

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Hao Wu. 2007-05-23. Convergence to Equilibrium for the Cahn-Hilliard Equation with Wentzell Boundary Condition. https://arxiv.org/abs/0705.3362

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