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On a non-linear system for shape memory alloys |
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| Authors: | Ph Bénilan D Blanchard H Ghidouche |
| Institution: | (1) Departement de Mathématiques, Université de Besançon, 16 route de Gray, 25030 Besançon, France;(2) Service de Mathématiques, Laboratoire Central des Ponts et Chaussées, 58 Boulevard Lefèbvre, 75015 Paris, France;(3) Département de Mathématiques, Université Paris XIII, Avenue J. B. Clément, 93430 Villetaneuse, France |
| Abstract: | A non linear system modelling phase changes in metallic alloys is studied. Two existence, uniqueness and regularity results are established in the reversible or irreversible setting. The technique uses non linear semi-groups theory and a fixed point method. |
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