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EXPONENTIAL ATTRACTORS OF THE GINZBURG-LANDAU-BBM EQUATIONS IN AN UNBOUNDED DOMAIN
作者姓名:戴正德  蒋慕蓉
作者单位:Department of Mathematics,Yunnan University,Kunming 650091,China
基金项目:the National Natural Science Foundation of China (No. 19861004) and Applied Foundation Research Fund of Yunnan Province and RDC
摘    要:1. IntroductionThe infinite dimensional dynamical systems which are defined by nonlinear evolutionequations have a lot of properties sindlar to what the differential dynamical system8 havehad, such as attractor and inertia1 manifold. However, because of spectral barriers and spec-tra1 gap conditions, for many dissipative evolution equations such as the 2D Navior-Stokesequations, the existence of an inertial manifOld still remains to be a precarious question. Themajor difference between inert…

收稿时间:21 December 1998

Exponential attractors of the ginzburg-landau-BBM equations in an unbounded domain
Dai Zhengde,Jiang Murong.EXPONENTIAL ATTRACTORS OF THE GINZBURG-LANDAU-BBM EQUATIONS IN AN UNBOUNDED DOMAIN[J].Acta Mathematicae Applicatae Sinica,2001,17(4):484-493.
Authors:Dai Zhengde  Jiang Murong
Institution:(1) Department of Mathematics, Yunnan University, 650091 Kunming, China
Abstract:In this paper, the existence of the exponential attractors for the Ginzburg-Landau-BBM equations in an unbounded domain is proved by using weighted function and squeezing property.
Keywords:Exponential attractor  Ginzburg-Landau-BBM equations  unbounded domain  weighted function  squeezing property
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