在加法扰动下的广义Kuramoto-Sivashinsky方程的随机吸引子
Random Attractors of Generalized Kuramoto-Sivashinsky Equations with Additive Noise
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摘要: 主要说明随机的广义Kuramoto-Sivashinsky方程的唯一解生成一个随机动力系统,这个系统在L2(I)中有一个紧的随机吸引子.Abstract: We show in this paper that the stochastic generalized Kuramoto-Sivashinsky equation can be solved pathwise and the unique solution generates a random dynamical system S. This system S possesses a compact random attractor in L2(I) under the assumption with respect to the diffusion coefficient β.
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