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| A model for solid-solid phase transition has been recently introduced by Mauro Fabrizio et al. The physical quantities that are involved are the absolute temperature, the order parameter, and the scalar displacement along with the associated stress vector. In the corresponding PDE system, two parabolic equations and a second order hyperbolic equation are coupled. As the problem is highly nonlinear, even the existence of a solution is not clear at all, at first sight. The present talk provides the outline of an existence result recently obtained by the speaker in collaboration with Elena Bonetti, Pierluigi Colli and Mauro Fabrizio. |
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