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The attractor for a nonlinear reaction-diffusion system in an unbounded domain

Efendiev, MA and Zelik, SV (2001) The attractor for a nonlinear reaction-diffusion system in an unbounded domain Communications on Pure and Applied Mathematics, 54 (6).

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Abstract

In this paper the quasi-linear second-order parabolic systems of reaction-diffusion type in an unbounded domain are considered. Our aim is to study the long-time behavior of parabolic systems for which the nonlinearity depends explicitly on the gradient of the unknown functions. To this end we give a systematic study of given parabolic systems and their attractors in weighted Sobolev spaces. Dependence of the Hausdorff dimension of attractors on the weight of the Sobolev spaces is considered. © 2001 John Wiley & Sons, Inc.

Item Type: Article
Authors :
NameEmailORCID
Efendiev, MAUNSPECIFIEDUNSPECIFIED
Zelik, SVs.zelik@surrey.ac.ukUNSPECIFIED
Date : 1 June 2001
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 11:53
Last Modified : 17 May 2017 14:59
URI: http://epubs.surrey.ac.uk/id/eprint/833093

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