Global attractor for a hyperbolic Cahn–Hilliard equation with a proliferation term

Article type: Research Article

Authors: Badieti Matala, Padouette Boubati^{; *} | Moukoko, Daniel | Evrard Isseret Goyaud, Mayeul

Affiliations: Laboratoire d’Analyse Fonctionnelle et Équations aux Dérivées Partielles, Faculté des Sciences et Techniques, Université Marien Ngouabi, B.P. 69, Brazzaville, Congo

Correspondence: [*] Corresponding author. E-mail: padouettebadieti@gmail.com.

Abstract: In this article, we study a hyperbolic equation of Cahn–Hilliard with a proliferation term and Dirichlet boundary conditions. In particular, we prove the existence and uniqueness of the solution, and also the existence of the global attractor.

Keywords: Cahn–Hilliard equation, proliferation term, dissipativity, global attractor, comparison principle

DOI: 10.3233/ASY-211676

Journal: Asymptotic Analysis, vol. 127, no. 1-2, pp. 143-165, 2022