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Kuramoto-Sivashinsky方程在空间L^2(Ω)上的全局吸引子(英文) 被引量:2

Global Attractors of Kuramoto-Sivashinsky Equations on the Whole Space L^2(Ω)
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摘要 本文证明了在Ω的区间长度L满足一定条件下,Kuramoto-Sivashinsky方程生成的动力系统在整个空间L2(Ω)上存在吸引子. In this paper,we show that the dynamical system generated by the Kuramoto-Sivashinsky equation possesses a global attractor in the whole spaceL^2(Ω) under some assumptions with respect to the length L of internal Ω.
作者 李嘉 李扬荣
出处 《应用数学》 CSCD 北大核心 2011年第3期443-447,共5页 Mathematica Applicata
基金 Supported by the Fundamental Funds for the Central Universities(XDJK2009C100)
关键词 Kuramoto—Sivashinsky方程 全局吸引子 吸收集 一致紧性 Kuramoto-Sivashinsky equation Global attractor Absorbing set Uniform compactness
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