ON ANISOTROPIC CAGINALP PHASE-FIELD TYPE MODELS WITH SINGULAR NONLINEAR TERMS | Zendy

Alain Miranville | Zendy; Armel Judice Ntsokongo | Zendy

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ON ANISOTROPIC CAGINALP PHASE-FIELD TYPE MODELS WITH SINGULAR NONLINEAR TERMS

Author(s) -

Alain Miranville,

Armel Judice Ntsokongo

Publication year - 2018

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2018.655

Subject(s) - a priori and a posteriori , mathematics , nonlinear system , attractor , mathematical analysis , anisotropy , type (biology) , field (mathematics) , phase (matter) , physics , pure mathematics , geology , paleontology , philosophy , epistemology , quantum mechanics

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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