On the Global Attractor of Modified Swift-Hohenberg Equation in 3D Case

被引:0
作者
Ning Duan
Xianyun Xu
机构
[1] Jiangnan University,School of Science
来源
Indian Journal of Pure and Applied Mathematics | 2019年 / 50卷
关键词
Global attractor; modified Swift-Hohenberg equation; absorbing set;
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学科分类号
摘要
In this paper, we study the global dynamic for the solution semiflow of the modified Swift- Hohenberg equation in 3D case. We show that the equation has a global attractor in H4(Ω) when the initial value belongs to H1(Ω).
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页码:239 / 252
页数:13
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共 31 条
[1]  
Babin A. V.(1990)Attractor of partial differential evolution equations in an unbounded domain Proc. Roy. Soc. Edinburgh Sect. A 116 221-243
[2]  
Vishik M. I.(2010)Global attractor of a modified Swift-Hohenberg equation in Nonlinear Anal. 72 183-191
[3]  
Song L.(1982) space J. Phys. France 43 459-466
[4]  
Zhang Y.(1975)Irregular flow of a liquid film down a vertical column Phys. Rev. Lett. 34 391-394
[5]  
Ma T.(1977)Nonlinear saturation of the trapped-ion mode Phys. Rev. A. 15 319-328
[6]  
Shlang T.(1978)Hydrodynamics fluctuations at the convective instability Supp. Prog. Theoret. Phys. 64 346-347
[7]  
Sivashinsky G. L.(2009)Diffusion-induced chaos in reaction systems Comp. Math. Appl. 57 62-66
[8]  
La Quey R. E.(1977)Global attractor for a modified Swift-Hohenberg equation Acta Astron. 4 1177-1206
[9]  
Mahajan P. H.(1994)Nonlinear analysis of hydrodynamic instability in laminar flames Phys. Rev. Lett. 73 2978-2981
[10]  
Rutherford P. H.(2003)Swift–Hohenberg equation for lasers C. R. Acad. Sci. Paries, Ser. I 336 225-230