The attractor of the stochastic generalized Ginzburg-Landau equation

The stochastic generalized Ginzburg-Landau equation with additive noise can be solved pathwise and the unique solution generates a random system. Then we prove the random system possesses a global random attractor in H 0 1 .

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Bibliographic Details
Published inScience in China. Series A, Mathematics, physics, astronomy Vol. 51; no. 5; pp. 955 - 964
Main Authors Guo, BoLing, Wang, GuoLian, Li, DongLong
Format Journal Article
LanguageEnglish
Published Heidelberg SP Science in China Press 01.05.2008
Subjects
Applications of Mathematics
Mathematics
Mathematics and Statistics
random attractor
35K05
generalized Ginzburg-Landau equation
random dynamical systems
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Summary:The stochastic generalized Ginzburg-Landau equation with additive noise can be solved pathwise and the unique solution generates a random system. Then we prove the random system possesses a global random attractor in H 0 1 .
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1006-9283
1862-2763
DOI:10.1007/s11425-007-0181-6