A conserved Caginalp phase-field system with two temperatures and a nonlinear coupling term based on heat conduction

Abstract

<abstract><p>Our aim in this paper is to study generalizations of the Caginalp phase-field system based on a thermomechanical theory involving two temperatures and a nonlinear coupling. In particular, we prove well-posedness results. More precisely, the existence and uniqueness of solutions, the existence of the global attractor and the existence of an exponential attractor.</p></abstract>