Asymptotic behavior of 2D generalized stochastic Ginzburg-Landau equation with additive noise

doi:10.1007/s10483-009-0801-x

Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (8): 945-956.doi: https://doi.org/10.1007/s10483-009-0801-x

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Asymptotic behavior of 2D generalized stochastic Ginzburg-Landau equation with additive noise

李栋龙¹，郭柏灵²

1. Department of Information and Computing Science, Guangxi University of Technology,Liuzhou 545006, P. R. China;
2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China

收稿日期:2009-02-19 修回日期:2009-07-02 出版日期:2009-08-01 发布日期:2009-08-01

Asymptotic behavior of 2D generalized stochastic Ginzburg-Landau equation with additive noise

LI Dong-Long¹, GUO Bo-Ling²

1. Department of Information and Computing Science, Guangxi University of Technology,Liuzhou 545006, P. R. China;
2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China

Received:2009-02-19 Revised:2009-07-02 Online:2009-08-01 Published:2009-08-01

摘要/Abstract

摘要： The 2D generalized stochastic Ginzburg-Landau equation with additive noise is considered. The compactness of the random dynamical system is established with a priori estimate method, showing that the random dynamical system possesses a random attractor in H^1₀

关键词: 2D generalized stochastic Ginzburg-Landau equation, random dynamical system, random attractor

Abstract: The 2D generalized stochastic Ginzburg-Landau equation with additive noise is considered. The compactness of the random dynamical system is established with a priori estimate method, showing that the random dynamical system possesses a random attractor in H^1₀

Key words: 2D generalized stochastic Ginzburg-Landau equation, random dynamical system, random attractor

中图分类号:

35K05

李栋龙郭柏灵. Asymptotic behavior of 2D generalized stochastic Ginzburg-Landau equation with additive noise[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(8): 945-956.

LI Dong-Long;GUO Bo-Ling. Asymptotic behavior of 2D generalized stochastic Ginzburg-Landau equation with additive noise[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(8): 945-956.

Asymptotic behavior of 2D generalized stochastic Ginzburg-Landau equation with additive noise

Asymptotic behavior of 2D generalized stochastic Ginzburg-Landau equation with additive noise

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