Prof. P. Colli (Università Pavia)

Long time convergence for a class of phase field models

A class of phase field models for the dynamics of phase transitions is considered. This class includes the well-known Caginalp and Penrose-Fife models. Existence and uniqueness of the solution to the related initial boundary value problem are recalled. Further regularity of the solution is deduced by exploiting the so-called regularizing effect. The large time behavior of the solution is studied and convergence properties of the trajectory as time tends to infinity are discussed.