Uniformly Random Attractor for the Three-Dimensional Stochastic Nonautonomous Camassa-Holm Equations

摘要

We consider the uniformly random attractor for the three-dimensional stochastic nonautonomousCamassa-Holm equations in the periodic box0,l3in this paper. We associate with the concepts of uniform attractor andrandom attractor and produce the concept of uniformly random attractor for a process. Then we establish theexistence of the uniformly random attractor inDA1/2andDAfor the equations.