Study of the dissipativity, global attractor and exponential attractor for a hyperbolic relaxation of the Caginalp phase-field system with singular nonlinear terms

Article type: Research Article

Authors: Mavoungou, Urbain Cyriaque^{a; b; c; *} | Batangouna, Narcisse^{a; c} | Langa, Franck Davhys Reval^{a; c} | Moukoko, Daniel^{a; c} | Batchi, Macaire^{b; c}

Affiliations: [a] Laboratoire en Analyse Fonctionnelle et Equations aux Dérivées Partielles (LAFEDP), BP. 69 Brazzaville, Congo | [b] Institut National de Recherche en Sciences Exactes et Naturelles (IRSEN), BP. 2400 Brazzaville, Congo | [c] Département de Mathématiques, Faculté des Sciences et Techniques, Université Marien NGOUABI, BP. 69 Brazzaville, Congo

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

Abstract: In this paper, we study of the dissipativity, global attractor and exponential attractor for a hyperbolic relaxation of the Caginalp phase-field system with singular nonlinear terms, with initial and homogenous Dirichlet boundary condition.

Keywords: Caginalp hyperbolic phase field, singular potential, Dirichlet boundary, bounded absorbing set, dissipativity, global attractor, exponential attractor

DOI: 10.3233/ASY-201655

Journal: Asymptotic Analysis, vol. 125, no. 1-2, pp. 159-186, 2021