Maximal attractor for the system of a Landau-Ginzburg theory for structural phase transitions in shape memory alloys

Abstract

In this paper, a system of nonlinear partial differential equations modelling the dynamics of martensitic phase transitions in shape memory alloys is further investigated. In a previous paper published in SIAM J. Math. Anal., the global existence of a unique solution and the asymptotic behaviour of the solution as time goes to infinity have been established; in the present paper the existence of a compact maximal attractor is proved.