ON HIGHER-ORDER ANISOTROPIC CAGINALP PHASE-FIELD SYSTEMS WITH POLYNOMIAL NONLINEAR TERMS

Armel Judice Ntsokongo

doi:10.11948/2017062

2017 Volume 7 Issue 3

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Armel Judice Ntsokongo. ON HIGHER-ORDER ANISOTROPIC CAGINALP PHASE-FIELD SYSTEMS WITH POLYNOMIAL NONLINEAR TERMS[J]. Journal of Applied Analysis & Computation, 2017, 7(3): 992-1012. doi: 10.11948/2017062

Citation:

Armel Judice Ntsokongo. ON HIGHER-ORDER ANISOTROPIC CAGINALP PHASE-FIELD SYSTEMS WITH POLYNOMIAL NONLINEAR TERMS[J]. Journal of Applied Analysis & Computation, 2017, 7(3): 992-1012. doi: 10.11948/2017062

ON HIGHER-ORDER ANISOTROPIC CAGINALP PHASE-FIELD SYSTEMS WITH POLYNOMIAL NONLINEAR TERMS

Armel Judice Ntsokongo

Faculty de Sciences et Techniques, Universit Marien Ngouabi, B. P 69 Brazzaville, Congo

Abstract

Abstract

Our aim in this paper is to study higher-order (in space) anisotropic Caginalp phase-field systems. In particular, we obtain well-posedness results, as well as the existence of the global attractor and exponential attractor.
- Phase-field systems /
- higher-order systems /
- anisotropy /
- well-posedness /
- dissi-pativity /
- global attractor /
- exponential attractor
MSC: 35K55;35B41;35B45

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