带附加噪声的随机广义2D Ginzburg-Landau方程的渐进行为

Asymptotic Behavior of the 2D Generalized Stochastic Ginzburg-Landau Equation With Additive Noise

考虑带附加噪声的随机广义2D Ginzburg-Landau方程.通过先验估计的方法,随机动力系统的紧性得到证明,进一步验证了该随机动力系统在H10存在随机整体吸引子.

The 2D generalized stochastic Ginzburg-Landau equation with additive noise is considered. The compactness of the random dynamical system was established by a priori estimates method, which shows that the random dynamical system possesses a random attractor in H0^1.