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一些Banach空间内复Swift-Hohenberg方程的指数吸引子 被引量:1

Some Exponential Attractor of Banach Spaces in Complex Swift-Hohenberg Equation
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摘要 非线性方程的求解一直是数学以及物理学中的重要问题,在以往分析中已经得到在Swift-Hohenberg方程在加权Sobolev空间整体上吸引子的存在性,为分析Banach空间内复Swift-Hohenberg方程的指数吸引子,先证实整体吸引子的存在性,得到有效分型维数,构造M通过Efendive、Zelik结果。 Solving nonlinear equations has been an important issue in physics and mathematical. Existence of attractor has been demonstrated in weighted Sobolev spaces of Swift-Hohenberg equation. To analyze the attractor of Banach space in Swift-Hohenberg equation, existence of the Global Attractor was confirmed firstly, typing dimension was received secondly, and then M was structured by Efendive and Zelik results.
作者 徐长俊
出处 《唐山师范学院学报》 2015年第5期6-8,共3页 Journal of Tangshan Normal University
关键词 SWIFT-HOHENBERG方程 BANACH空间 指数吸引子 Swift-Hohenberg equation Banach space exponential attractor
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