INITIAL BOUNDARY VALUE PROBLEM FOR GENERALIZED 2D COMPLEX GINZBURG-LANDAU EQUATION  

INITIAL BOUNDARY VALUE PROBLEM FOR GENERALIZED 2D COMPLEX GINZBURG-LANDAU EQUATION

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作  者:Fu Yiping Li Yongsheng 

机构地区:[1]School of Mathematical Sciences, South China University of Technology, Guangzhou, Guangdong 510640, P. R. China

出  处:《Journal of Partial Differential Equations》2007年第1期65-70,共6页偏微分方程(英文版)

基  金:This work is supported by National Natural Science Foundation of China under Grant nos, 10001013 and 10471047 and Natural Science Foundation of Guangdong Province of China under Grant no. 004020077.

摘  要:In this paper we study an initial boundary value problem for a generalized complex Ginzburg-Landau equation with two spatial variables (2D). Applying the notion of the ε-regular map we show the unique existence of global solutions for initial data with low regularity and the existence of the global attractor.

关 键 词:Generalized 2D Ginzburg-Landau equation initial boundary value problem ε-regular map global solution global attractor. 

分 类 号:O175.29[理学—数学]

 

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