关键词: Zakharov系统, 随机吸引子, 尾部估计法

Abstract:

The authors dealt with the random attractor for the stochastic Zakharov system perturbed by a small random item. Based on the tail-estimate method,  the asymptotic compactness of random dynamical systems was testified and  the existence of a random compact invariant set was proved, which is a random attractor on unbounded domain in Rⁿ.

Key words: Zakharov system, random attractors, tailestimates method