关键词: 随机吸引子, Berger方程, 算子分解, 存在性

Abstract: We considered the random asymptotic behaviors of solutions for the Berger equation with white noise. By introducting the equivalent process of isomorphic mapping, and using asymptotic  a priori estimation technique and operator decomposition method, we proved the existence of random attractor in (H²(U)∩H¹₀(U))×L²(U).

Key words: random attractor, Berger equation, operator decomposition, existence