Istituto di Matematica Applicata e Tecnologie Informatiche     
Bonetti E. Well-posedness of an integro-differential Fremond model for shape memory alloys. Technical report ercim.cnr.ian//2000-1188, 2000.
This paper deals with the nonlinear three-dimensional Fremond model for shape memory alloys in the case whern the heat flux contains some memory terms. The abstract formulation of the resulting initial-boundary PDE system is considered. Existence and uniqueness of solutions are proved by exploiting a semi-implicit time discretization scheme, combined with an a priori estimates passage to the limiti procedure as well by performing suitable contracting estimates on the solutions.
Subject Austenite-martensite phase transition, shape memory, thermal memory, initial-boundary value problem
74D10, 35Q72, 80A22

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