PULLBACK ATTRACTORS FOR GLOBALLY MODIFIED NAVIER-STOKES EQUATIONS WITH INFINITE DELAYS

被引：58

作者：

Marin-Rubio, Pedro ^{[1
]}

Marquez-Duran, Antonio M. ^{[1
,2
]}

Real, Jose ^{[1
]}

机构：

[1] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, E-41080 Seville, Spain

[2] Univ Pablo de Olavide, Dept Econ Metodos Cuantitat & Hist Econ, Seville 41013, Spain

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 31卷 / 03期

关键词：

Globally Modified Navier-Stokes Equations; pullback attractors; infinite delays; 3-DIMENSIONAL SYSTEM; 2D-NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; V-ATTRACTORS;

D O I：

10.3934/dcds.2011.31.779

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the existence of pullback attractors for the dynamical system associated to a globally modified model of the Navier-Stokes equations containing delay operators with infinite delay in a suitable weighted space. Actually, we are able to prove the existence of attractors in different classes of universes, one is the classical of fixed bounded sets, and the other is given by a tempered condition. Relationship between these two kind of objects is also analyzed.

引用

页码：779 / 796

页数：18

共 32 条

[1] Attractors for differential equations with unbounded delays [J].

Caraballo, T. ;

Marin-Rubio, P. ;

Valero, J. .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 239 (02) :311-342

[2] Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains [J].

Caraballo, T ;

Lukaszewicz, G ;

Real, J .

COMPTES RENDUS MATHEMATIQUE, 2006, 342 (04) :263-268

[3] Pullback attractors for asymptotically compact non-autonomous dynamical systems [J].

Caraballo, T ;

Lukaszewicz, G ;

Real, J .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (03) :484-498

[4] Attractors for 2D-Navier-Stokes models with delays [J].

Caraballo, T ;

Real, J .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 205 (02) :271-297

[5] Asymptotic behaviour of two-dimensional Navier-Stokes equations with delays [J].

Caraballo, T ;

Real, J .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2003, 459 (2040) :3181-3194

[6] Navier-Stokes equations with delays [J].

Caraballo, T ;

Real, J .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2001, 457 (2014) :2441-2453

[7]

Caraballo T, 2008, DISCRETE CONT DYN-B, V10, P760

[8]

Caraballo T, 2006, ADV NONLINEAR STUD, V6, P411

[9] THREE-DIMENSIONAL SYSTEM OF GLOBALLY MODIFIED NAVIER-STOKES EQUATIONS WITH DELAY [J].

Caraballo, Tomas ;

Real, Jose ;

Marquez, Antonio M. .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2010, 20 (09) :2869-2883

[10]

Caraballo T, 2010, ADV NONLINEAR STUD, V10, P245

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