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Well-posedness and global attractor of the Cahn-Hilliard-Brinkman system with dynamic boundary conditions. (English) Zbl 1339.35055
Summary: Our aim in this paper is to study the well-posedness and the longtime behavior of solutions for the Cahn-Hilliard-Brinkman system with dynamic boundary conditions. We prove the well-posedness of solutions and the existence of a global attractor in \(H^1(\bar{\Omega}, d \nu)\) for the Cahn-Hilliard-Brinkman system with dynamic boundary conditions by using Aubin-Lions compactness Theorem.

MSC:
35B41 Attractors
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