PARABOLIC EQUATIONS WITH LOCALIZED LARGE DIFFUSION: RATE OF CONVERGENCE OF ATTRACTORS

Carvalho, Alexandre N.; Pires, Leonardo

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

PARABOLIC EQUATIONS WITH LOCALIZED LARGE DIFFUSION: RATE OF CONVERGENCE OF ATTRACTORS

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Author(s):	Carvalho, Alexandre N. ^[1] ; Pires, Leonardo ^[2] Total Authors: 2
Affiliation:	^[1] Univ Sao Paulo, Dept Matemat, Inst Ciencias Matemat & Comp, Campus Sao Carlos, Sao Carlos, SP - Brazil ^[2] Univ Estadual Ponta Grossa, Dept Matemat & Estat, Ponta Grossa, PR - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 53, n. 1, p. 1-23, MAR 2019.
Web of Science Citations:	0
Abstract
In this paper we study the asymptotic nonlinear dynamics of scalar semilinear parabolic problems of reaction-diffusion type when the diffusion coefficient becomes large in a subregion in the interior to the domain. We obtain, under suitable assumptions, that the family of attractors behaves continuously and we exhibit the rate of convergence. An accurate description of the localized large diffusion is necessary. (AU)

FAPESP's process:	18/10997-6 - Robustness of attractors under autonomous or non-autonomous perturbatinos: Structural Stability
Grantee:	Alexandre Nolasco de Carvalho
Support Opportunities:	Scholarships abroad - Research

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