Prof. P. Colli
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.