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Volume 17, Issue 1
Global Attractors of Reaction-diusion Systems and Their Homogenization

Xingyou Zhang & Xiaohong Hu

J. Part. Diff. Eq., 17 (2004), pp. 80-88.

Published online: 2004-02

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  • 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 .
  • Keywords

Homogenization global attractor reaction-diffusion systems almostperiodic function Diophantine conditions

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@Article{JPDE-17-80, author = {}, title = {Global Attractors of Reaction-diusion Systems and Their Homogenization}, journal = {Journal of Partial Differential Equations}, year = {2004}, volume = {17}, number = {1}, pages = {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 .}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5378.html} }
TY - JOUR T1 - Global Attractors of Reaction-diusion Systems and Their Homogenization JO - Journal of Partial Differential Equations VL - 1 SP - 80 EP - 88 PY - 2004 DA - 2004/02 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5378.html KW - Homogenization KW - global attractor KW - reaction-diffusion systems KW - almostperiodic function KW - Diophantine conditions AB - 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 .
Xingyou Zhang & Xiaohong Hu . (2019). Global Attractors of Reaction-diusion Systems and Their Homogenization. Journal of Partial Differential Equations. 17 (1). 80-88. doi:
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