IUMJ

Title: Global solution to a quasistationary Penrose-Fife model

Authors: Pavel I. Plotnikov and Pierluigi Colli

Issue: Volume 54 (2005), Issue 2, 349-382

Abstract:

In this paper we prove the existence of a global solution to the quasistationary phase field model of Penrose-Fife type. For the proof we combine a time discretization of the system with some a priori estimates, one of which is unusual. The passage to the limit is based on an appropriate compactness argument, which has been especially devised for this problem.