Istituto di Matematica Applicata e Tecnologie Informatiche     
Bonetti E. Global solution to a nonlinear phase transition model with dissipation. Technical report ercim.cnr.ian//2001-1214, 2001.
A nonlinear system of PDE's describing phase transition is considered in accordance with a recent dissipative model proposed by Fr'emond, in which, in particular, the power of interior forces depends on microscopic movements. Existence of a global solution is proved for the resulting initial and boundary value problem through a fixed point argument. Moreover, an uniqueness result is established for a slightly simplified version of the system.
Subject 35K55, 80A22, 35B50, 34C11

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