Global attractor of 2D autonomous g-Navier-Stokes equations

被引:0
作者
Jin-ping Jiang
Xiao-xia Wang
机构
[1] Yan’an University,College of Computer
来源
Applied Mathematics and Mechanics | 2013年 / 34卷
关键词
global attractor; -Navier-Stokes equation; bounded absorbing set; semigroup; multi-connected bounded domain; Hausdorff dimension; O175; 35B41; 37B55; 76D05;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, the existence of global attractors for the 2D autonomous g-Navier-Stokes equations on multi-connected bounded domains is investigated under the general assumptions of boundaries. The estimation of the Hausdorff dimensions for global attractors is given.
引用
收藏
页码:385 / 394
页数:9
相关论文
共 10 条
[1]  
Rosa R.(1998)The global attractor for the 2D-Navier-Stokes flow in some unbounded domain Nonlinear Analysis 32 71-85
[2]  
Cheban D. N.(2004)Almost periodic solutions and global attractors of nonautonomous Navier-Stokes equation Journal of Dynamics and Differential Equations 16 1-34
[3]  
Duan J.(2004)The uniform attractor for the 2D non-autonomous Navier-Stokes flow in some unbounded domain Nonlinear Analysis 58 609-630
[4]  
Hou Y. R.(2009)The global attractor of Appl. Math. Comput. 215 1068-1076
[5]  
Li K. T.(2004)-Navier-Stokes equations with linear dampness on ℝ Taiwanese Journal of Mathematics 8 85-102
[6]  
Jiang J. P.(2005)Existence of solutions of the Journal of Differential Equations 211 452-484
[7]  
Hou Y. R.(undefined)-Navier-Stokes equations undefined undefined undefined-undefined
[8]  
Bae H.(undefined)Dynamics of the undefined undefined undefined-undefined
[9]  
Roh J.(undefined)-Navier-Stokes equations undefined undefined undefined-undefined
[10]  
Roh J.(undefined)undefined undefined undefined undefined-undefined