Pullback V-attractors of the 3-dimensional globally modified Navier-Stokes equations

被引：45
|
作者：
Kloeden, Peter E. [1 ]
Langa, Jose A.
Real, Jose
机构：
[1] Goethe Univ Frankfurt, Inst Math, D-60054 Frankfurt, Germany
[2] Univ Seville, Dpto Ecuaciones Diferenciales & Anal Numer, E-41080 Seville, Spain
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2007年 / 6卷 / 04期
关键词：
3-dimensional Navier-Stokes equations; weak solutions; existence and uniqueness of strong solutions; flattening property; nonautonomous and pullback attractors;
D O I：
10.3934/cpaa.2007.6.937
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence and finite fractal dimension of a pullback attractor in the space V for a three dimensional system of the nonautonomous Globally Modified Navier-Stokes Equations on a bounded domain is established under appropriate properties on the time dependent forcing term. These equations were proposed recently by Caraballo et at and are obtained from the Navier-Stokes Equations by a global modification of the nonlinear advection term. The existence of the attractor is obtained via the flattening property, which is verified.
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页码：937 / 955
页数：19
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