On the 2D Cahn-Hilliard/Allen-Cahn equation with the inertial term

Khanmamedov A.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.494, no.2, 2021 (SCI-Expanded) identifier identifier


In this paper, we consider the initial boundary value problem for the hyperbolic relaxation of the 2D Cahn-Hilliard/Allen-Cahn equation with cubic nonlinearity of class C-2. We prove that the semigroup generated by the weak solutions of this problem possesses a global attractor. We also improve the previously obtained results concerning the global attractors for the 2D Cahn-Hilliard equation with the inertial term. (c) 2020 Elsevier Inc. All rights reserved.