RANDOM ATTRACTOR OF STOCHASTIC ZAKHAROV LATTICE SYSTEM

Yu Bai; Shengfan Zhou

doi:10.11948/2011010

2011 Volume 1 Issue 2

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Yu Bai, Shengfan Zhou. RANDOM ATTRACTOR OF STOCHASTIC ZAKHAROV LATTICE SYSTEM[J]. Journal of Applied Analysis & Computation, 2011, 1(2): 155-171. doi: 10.11948/2011010

Citation:

Yu Bai, Shengfan Zhou. RANDOM ATTRACTOR OF STOCHASTIC ZAKHAROV LATTICE SYSTEM[J]. Journal of Applied Analysis & Computation, 2011, 1(2): 155-171. doi: 10.11948/2011010

RANDOM ATTRACTOR OF STOCHASTIC ZAKHAROV LATTICE SYSTEM

Department of Mathematics, Shanghai Normal University, Shanghai, 200234 China

Fund Project:

Abstract

Abstract

In this paper, we consider a lattice system of stochastic Zakharov equation with white noise. We first show that the solutions of the system determine a continuous random dynamical system with random absorbing set. And then we prove the random asymptotic compactness on the random absorbing set. Finally, we obtain the existence of a random attractor for the system.
- Stochastic Zakharov lattice system /
- continuous random dynamical system /
- random attractor
MSC: 35D;35C

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References

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