ATTRACTORS FOR A DOUBLE TIME-DELAYED 2D-NAVIER-STOKES MODEL

被引：33

作者：

Garcia-Luengo, Julia ^{[1
]}

Marin-Rubio, Pedro ^{[1
]}

Planas, Gabriela ^{[2
]}

机构：

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

[2] Univ Estadual Campinas, Inst Matemat Estat & Computacao Cient, Dept Matemat, BR-13083859 Campinas, SP, Brazil

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2014年 / 34卷 / 10期

关键词：

Navier-Stokes equations; nonlinear delay terms; pullback attractors; well-posed/ill-posed Navier-Stokes; delayed convective term; tempered universes for non-autonomous dynamical systems; NAVIER-STOKES EQUATIONS; PULLBACK ATTRACTORS; ASYMPTOTIC-BEHAVIOR; WEAK;

D O I：

10.3934/dcds.2014.34.4085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a double time-delayed 2D-Navier-Stokes model is considered. It includes delays in the convective and the forcing terms. Existence and uniqueness results and suitable dynamical systems are established. We also analyze the existence of pullback attractors for the model in several phase-spaces and the relationship among them.

引用

页码：4085 / 4105

页数：21

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