一些Banach空间内复Swift-Hohenberg方程的指数吸引子  

Some Exponential Attractor of Banach Spaces in Complex Swift-Hohenberg Equation

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》2015年第5期6-8,共3页Journal of Tangshan Normal University

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.

关 键 词：SWIFT-HOHENBERG方程 BANACH空间 指数吸引子 

分 类 号：O175[理学—数学]