随机耗散Camassa-Holm方程的吸引子

Random Attractor for Stochastic Camassa-Holm Equation with Dissipative Part

可以按轨道得到带白噪声的随机耗散Camassa-Holm方程的唯—解并且可以检验该解产生随机动力系统，从而证明了该随机动力系统在H0^2中存在紧的随机吸引子．

It is showed that the stochastic be solved path-wise and the unique solution Camassa-Holm equation with white noise can generates a random dynamical system. Then a compact random attractor is obtained for this system in H0^2 space by a priori estimate technique.