You, Bo; Li, Fang Well-posedness and global attractor of the Cahn-Hilliard-Brinkman system with dynamic boundary conditions. (English) Zbl 1339.35055 Dyn. Partial Differ. Equ. 13, No. 1, 75-90 (2016). 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. Cited in 3 Documents MSC: 35B41 Attractors Keywords:dissipativity; Aubin-Lions compactness theorem; elliptic-parabolic system PDF BibTeX XML Cite \textit{B. You} and \textit{F. Li}, Dyn. Partial Differ. Equ. 13, No. 1, 75--90 (2016; Zbl 1339.35055) Full Text: DOI