On a model of phase relaxation for the hyperbolic Stefan problem ✩

In this paper we study a model of phase relaxation for the Stefan problem with the Cattaneo– Maxwell heat flux law. We prove an existence and uniqueness result for the resulting problem and we show that its solution converges to the solution of the Stefan problem as the two relaxation parameters go to zero, provided a relation between these parameters holds.  2004 Elsevier Inc. All rights reserved.