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Solvability for phase field systems of Penrose-Fife type associated with $p$-laplacian diffusions

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  • In this paper, we deal with systems of nonlinear evolution equations, which are mathematical models of phase transitions, classified as "Penrose-Fife type". In the presented models, $p$-Laplacians, with 1 $<= p$ < 2, are adopted to describe the diffusions in exchanges. As the main conclusions, some theorems, concerned with the existence and the uniqueness of solutions of our systems, will be proved, under appropriate assumptions.
    Mathematics Subject Classification: Primary: 35K55; Secondary: 82B26.

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