Global solution to a quasistationary Penrose-Fife model Pierluigi ColliPavel Plotnikov 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. Indiana University Mathematics Journal 2005 text pdf 10.1512/iumj.2005.54.2595 10.1512/iumj.2005.54.2595 en Indiana Univ. Math. J. 54 (2005) 349 - 382 state-of-the-art mathematics http://iumj.org/access/