Well-posedness results and asymptotic behaviour for a phase transition model taking into account microscopic accelerations ✩

We obtain an existence and uniqueness result to Frémond’s phase transition model which take into account microscopic movements and accelerations. Moreover, the irreversible evolution of the phase variable is considered. Next, we perform an asymptotic analysis on the solution to the above problem, as the power of the microscopic acceleration forces goes to zero. © 2005 Elsevier Inc. All rights reserved.