| Volume 8, Number 3, 2018, Pages 655-674 DOI：10.11948/2018.655 |
| On anisotropic caginalp phase-field type models with singular nonlinear terms |
| Alain Miranville,A. J. Ntsokongo |
| Keywords:Caginalp phase-field type models, anisotropy, singular nonlinear terms, well-posedness, global attractor |
| Abstract: |
| Our aim in this paper is to study the well-posedness and the existence of the global attractor of anisotropic Caginalp phase-field type models with singular nonlinear terms. The main difficulty is to prove, in one and two space dimensions, that the order parameter remains in the physically relevant range and this is achieved by deriving proper a priori estimates. |
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