WELL-POSEDNESS AND LONG TIME BEHAVIOR OF A HYPERBOLIC CAGINALP PHASE-FIELD SYSTEM

Daniel Moukoko

doi:10.11948/2014008

2014 Volume 4 Issue 2

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Daniel Moukoko. WELL-POSEDNESS AND LONG TIME BEHAVIOR OF A HYPERBOLIC CAGINALP PHASE-FIELD SYSTEM[J]. Journal of Applied Analysis & Computation, 2014, 4(2): 151-196. doi: 10.11948/2014008

Citation:

Daniel Moukoko. WELL-POSEDNESS AND LONG TIME BEHAVIOR OF A HYPERBOLIC CAGINALP PHASE-FIELD SYSTEM[J]. Journal of Applied Analysis & Computation, 2014, 4(2): 151-196. doi: 10.11948/2014008

WELL-POSEDNESS AND LONG TIME BEHAVIOR OF A HYPERBOLIC CAGINALP PHASE-FIELD SYSTEM

Daniel Moukoko

Département de Mathématiques, Faculté des Sciences et Techniques Université Marien NGOUABI, BP 69 Brazzaville, Congo

Abstract

Abstract

The aim of this paper is to prove the continuity of exponential attractors for a hyperbolic perturbed Caginalp system to an exponential attractor for the limit parabolic-hyperbolic Caginalp system. The symmetric distance between the perturbed and unperturbed exponential attractors in terms of the perturbation parameter is obtained.
- Caginalp system /
- well-posedness /
- dissipativity /
- global attractor /
- exponential attractors /
- asymptotic expansions
MSC: 35B40;35B41;35B45

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References

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