TY - JOUR
T1 - Global Attractors of Reaction-diusion Systems and Their Homogenization
AU - Xingyou Zhang  & Xiaohong Hu 
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 .