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On a Caginalp phase-field system with a logarithmic nonlinearity

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Abstract

We consider a phase field system based on the Maxwell Cattaneo heat conduction law, with a logarithmic nonlinearity, associated with Dirichlet boundary conditions. In particular, we prove, in one and two space dimensions, the existence of a solution which is strictly separated from the singularities of the nonlinear term and that the problem possesses a finite-dimensional global attractor in terms of exponential attractors.

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  1. Zarazir station street, New Rawda, Beirut, Lebanon

    Charbel Wehbe

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  1. Charbel Wehbe
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Wehbe, C. On a Caginalp phase-field system with a logarithmic nonlinearity. Appl Math 60, 355–382 (2015). https://doi.org/10.1007/s10492-015-0101-y

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  • DOI: https://doi.org/10.1007/s10492-015-0101-y

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