Global attractor for the Cahn-Hilliard equation in \(H^ 2\) and \(H^ 3\)
This paper is concerned with the existence of global attractors for the following Cahn-Hilliard equation \(u_t = - \varepsilon^2 \Delta^2u + \Delta (f(u))\), where \(u\) is subject to no flux boundary condition and \(f(u)\) is a polynomial of the order \(2p - 1\). Results about the existence of global attractors in the spaces \(H^2\) and \(H^3\) are obtained.
scientific article; zbMATH DE number 665706