Global Random Attractors for the Stochastic Dissipative Zakharov Equations

The stochastic dissipative Zakharov equations with white noise are mainly investigated. The global random attractors endowed with usual topology for the stochastic dissipative Zakharov equations are obtained in the sense of usual norm. The method is to transform the stochastic equations into the cor...

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Veröffentlicht in:Acta Mathematicae Applicatae Sinica 2014-01, Vol.30 (2), p.289-304
Hauptverfasser: Guo, Yan-feng, Guo, Bo-ling, Li, Dong-long
Format: Artikel
Sprache:eng
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Zusammenfassung:The stochastic dissipative Zakharov equations with white noise are mainly investigated. The global random attractors endowed with usual topology for the stochastic dissipative Zakharov equations are obtained in the sense of usual norm. The method is to transform the stochastic equations into the corresponding partial differential equations with random coefficients by Ornstein-Uhlenbeck process. The crucial compactness of the global random attractors wiil be obtained by decomposition of solutions.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-014-0288-9