Long time convergence for a class of variational phase field models

Details Long time convergence for a class of variational phase field models Long time convergence for a class of variational phase field models

2008-01-17

arxiv.org/abs/0801.2658v1

Mathematics

Analysis of PDEs

Scientific paper

In this paper we analyze a class of phase field models for the dynamics of phase transitions which extend the well-known Caginalp and Penrose-Fife models. Existence and uniqueness of the solution to the related initial boundary value problem are shown. Further regularity of the solution is deduced by exploiting the so-called regularizing effect. Then, the large time behavior of such a solution is studied and several convergence properties of the trajectory as time tends to infinity are discussed.

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