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.

引用

页码：937 / 955

页数：19

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