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

被引：32

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

共 29 条

[11] Navier-Stokes equations with delays on unbounded domains
Garrido-Atienza, MJ
Marín-Rubio, P
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (05) : 1100 - 1118
[12] ON A CLASS OF THREE DIMENSIONAL NAVIER-STOKES EQUATIONS WITH BOUNDED DELAY
Guzzo, Sandro M.
Planas, Gabriela
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2011, 16 (01): : 225 - 238
[13] Weak and strong attractors for the 3D Navier-Stokes system
Kapustyan, A. V.
Valero, J.
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 240 (02) : 249 - 278
[14] Pullback attractors for a class of extremal solutions of the 3D Navier-Stokes system
Kapustyan, O. V.
Kasyanov, P. O.
Valero, J.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 373 (02) : 535 - 547
[15] Kloeden PE, 2009, ADV NONLINEAR ANAL T, V3, P11
[16] EQUIVALENCE OF INVARIANT MEASURES AND STATIONARY STATISTICAL SOLUTIONS FOR THE AUTONOMOUS GLOBALLY MODIFIED NAVIER-STOKES EQUATIONS
Kloeden, Peter E.
Marin-Rubio, Pedro
Real, Jose
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2009, 8 (03) : 785 - 802
[17] Lions J. L., 1969, QUELQUES METHODES RE
[18] Liu WJ, 2002, DISCRETE CONT DYN-B, V2, P47
[19] FEEDBACK CONTROLLERS FOR A WIND-TUNNEL MODEL INVOLVING A DELAY - ANALYTICAL DESIGN AND NUMERICAL-SIMULATION
MANITIUS, AZ
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1984, 29 (12) : 1058 - 1068
[20] Marin-Rubio P., 2003, STOCH DYNAM, V3, P279, DOI 10.1142/S0219493703000772

← 1 2 3 →