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
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10.1512/iumj.2005.54.2595
10.1512/iumj.2005.54.2595
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Indiana Univ. Math. J. 54 (2005) 349 - 382
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