MAXIMAL ATTRACTOR FOR THE SYSTEM OF A LANDAU-GINZBURG THEORY FOR STRUCTURAL PHASE-TRANSITIONS IN SHAPE-MEMORY ALLOYS

In this paper, a system of nonlinear partial differential equations mo delling 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 asym ptotic behaviour of the solution as time goes to infinity have been es tablished; in the present paper the existence of a compact maximal att ractor is proved. (C) 1998 Elsevier Science B.V. All rights reserved.