WEAK SOLUTION TO SOME PENROSE-FIFE PHASE-FIELD SYSTEMS WITH TEMPERATURE-DEPENDENT MEMORY

In this paper a phase-field model of Penrose-Fife type is considered f or a diffusive phase transition in a material in which the heat flux i s a superposition of two different contributions: one part is proporti onal to the spatial gradient of the inverse temperature. while the oth er is of the form of the Gurtin-Pipkin law introduced ill the theory o f materials with thermal memory. It is shown that an initial-boundary value problem for the resulting state equations has a unique solution. thereby generalizing a number of recent results. (C) 1998 Academic Pr ess.