Global Attractors of Reaction-diusion Systems and Their Homogenization

Global Attractors of Reaction-diusion Systems and Their Homogenization

Year:    2004

Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 1 : pp. 80–88

Abstract

In this paper, we study the existence of the global attractor A" of reaction-diffusion equation ∂_tu^ε(x, t) = A_εu^ε(x, t) - f(x, ε^{-1}x, u^ε(x, t)), and the homogenized attractor A^0 of the corresponding homogenized equation, then give explicit estimates for the distance between the attractor A^ε and the homogenized attractor A^0 .

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2004-JPDE-5378

Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 1 : pp. 80–88

Published online:    2004-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Homogenization