Exponential attractors for the Cahn–Hilliard equation with dynamic boundary conditions

SUMMARY We consider in this article the Cahn–Hilliard equation endowed with dynamic boundary conditions. By interpreting these boundary conditions as a parabolic equation on the boundary and by considering a regularized problem, we obtain, by the Leray–Schauder principle, the existence and uniqueness of solutions. We then construct a robust family of exponential attractors. Copyright ? 2005 John Wiley & Sons, Ltd.

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