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Attractors for generalized Ginzburg-Landau-BBM equations in an unbounded domain
Authors:Jiang Murong  Guo Boling
Affiliation:(1) Department of Mathematics, Yunnan University, 650091 Kunming, China;(2) R & D Center for Parallel Software, Institute of Software, Chinese Academy of Sciences, 100080 Beijing, China;(3) Institute of Applied Physics and Computational Mathematics, 100088 Beijing, China
Abstract:By the interpolation inequality and a priori estimates in the weighted space, the existence of global solutions for generalized Ginzburg-Landau equation coupled with BBM equation in an unbounded domain is considered, and the existence of the maximal attractor is obtained. This research is supported by the National Natural Science Foundation of China (No.19861004).
Keywords:unbounded domain   weighted space   attractor   generalized Ginzburg-Landau-BBM equations
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