复Swift-Hohenberg方程在一些Banach空间X^α中解的渐近行为  

The Asymptotic Behavior of the Complex Swift-Hohenberg Equation in Banach Space X^α Solution

作　　者：徐长俊[1] 

机构地区：[1]江苏联合职业技术学院盐城机电分院,江苏盐城224005

出　　处：《唐山师范学院学报》2016年第2期14-16,共3页Journal of Tangshan Normal University

摘　　要：研究复Swift-Hohenberg方程在一些Banach空间X^α中解的渐近行为时,不仅仅对整体解的存在性进行证明,同时也是对整体吸引子A的存在性进行证明。并结合本文的主要观点,对指数吸引子M的存在性证明,将A有限的分形维数得到。在空间中挤压性质结合中,本文的框架不成立,在M构造中,注重Banach空间的相关X^α中解应用。This paper studies the asymptotic behavior of complex Swift-Hohenberg equation in Banach space X^α of the solution.Not only the existence of global solutions was proved, but also the the existence of global attractor of the A. Combined with the mainpoint of this paper, the exponential attractors for the proof of the existence of M and the fractal dimension A of the limited, wereobtained. Extrusion in the space character of the combination, the frame of this paper is established in M structure, which is thesolution to Banach spatial correlation X^α.

关 键 词：SWIFT-HOHENBERG方程 BANACH空间 X^α解 渐近行为 

分 类 号：O175[理学—数学]