Title: Some results for an entropy balance and thermal memory model for phase transitions

Abstract: The talk deals with a phase transition model, based on a balance law involving entropy and on a local balance of microforces,

and in which thermal memory effects are taken into account. This model leads to a boundary value problem for a system of partial differential equations in the whole domain. If the entropy flux is assumed to be linear with respect to the gradient of the absolute temperature, then we can prove existence and uniqueness of a global solution to the Cauchy problem for the system of evolution equations. Other issues like long-time behaviour of the solution and structure of the omega limit set can be discussed.