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OALib Journal期刊
ISSN: 2333-9721
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高阶广义2D Ginzburg-Landau方程的随机吸引子
Keywords: 广义Ginzburg-Landau方程,随机动力系统,随机吸引子,加性白噪声
Abstract:
讨论了具有高阶非线性项的随机广义Ginzburg-Landau方程在H10的渐近性质.根据Crauel和Flandoli的方法,将随机微分方程转化为随机动力系统处理,并对该方程的解使用先验估计.由此证明了该方程在H10中随机吸引子的存在性.
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