Existence and uniqueness solution for a hyperbolic relaxation of the Caginalp phase-field system with singular nonlinear terms

Article type: Research Article

Authors: Mavoungou, Urbain Cyriaque^{; *} | Moukoko, Daniel | Langa, Franck Davhys Reval | Ampini, Dieudonné

Affiliations: Faculté des Sciences et Techniques, Université Marien NGOUABI, BP. 69 Brazzaville, Congo

Correspondence: [*] Corresponding author. E-mail: [email protected].

Note: [] Communicated by Alain Miranville

Abstract: In this article, we study the existence and uniqueness solution for a hyperbolic relaxation of the Caginalp phase-field system with singular nonlinear terms with homogenous Dirichlet boundary conditions, in a bounded smooth domain.

Keywords: Hyperbolic relaxation Caginalp phase-field system, logarithmic potential, Dirichlet boundary conditions

DOI: 10.3233/ASY-191539

Journal: Asymptotic Analysis, vol. 116, no. 1, pp. 41-72, 2020