Phase-field system with two temperatures and a nonlinear coupling term
Brice Landry Doumbé Bangola, Université des Sciences et Techniques de Masuku (USTM), Unité de Recherche en Mathématiques et Informatique (URMI), BP 943 Franceville, Gabon · AIMS Mathematics · 2018
The subject of this paper is the qualitative study of a generalization of Caginalp phase-field system involving two temperatures and a nonlinear coupling. First, we prove the well-posedness of the corresponding initial and boundary value problem, and we study the dissipativity properties of the system, in terms of bounded absorbing sets. We end by analyzing the spatial behavior of solutions in a semi-infinite cylinder, assuming the existence of such solutions.