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

LI Dong-Long;GUO Bo-Ling

doi:10.1007/s10483-009-0801-x

Applied Mathematics and Mechanics >

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

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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 date: 2009-02-19

Revised date: 2009-07-02

Online published: 2009-08-01

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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

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LI Dong-Long;GUO Bo-Ling . Asymptotic behavior of 2D generalized stochastic Ginzburg-Landau equation with additive noise[J]. Applied Mathematics and Mechanics, 2009 , 30(8) : 945 -956 . DOI: 10.1007/s10483-009-0801-x

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