Abstract
The aim of this paper is to establish an existence and uniqueness result for a diffusive austenite-martensite phase transition problem related to shape memory alloys with thermal memory. We deal with a Fremond model in the framework of a linearized energy balance equation and of a dissipative variational inequality for the phase variables with diffusion terms. In addition, the heat flux is supposed to satisfy the Cattaneo-Maxwell law, as a particular case of Gurtin and Pipkin''s theory. An initial-boundary value problem is considered and existence and uniqueness of solutions, as well continuous dependence on the data are proved.
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