Well-posedness and global attractor of the Cahn–Hilliard–Brinkman system with dynamic boundary conditions

Bo You, Fang Li
2016 Dynamics of Partial Differential Equations  
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 (Ω, dν) for the Cahn-Hilliard-Brinkman system with dynamic boundary conditions by using Aubin-Lions compactness Theorem. References 88 1991 Mathematics Subject Classification. Primary 35, 37.
doi:10.4310/dpde.2016.v13.n1.a4 fatcat:prt5pm3gazcb3akymmi5f3ifx4