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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
      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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