Navier-Stokes equations with delays on unbounded domains

被引：52

作者：

Garrido-Atienza, MJ ^{[1
]}

Marín-Rubio, P ^{[1
]}

机构：

[1] Univ Seville, Dept Ecuaciones Diferenciales & Anal Numer, Apdo Correos 1160, E-41080 Seville, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 05期

关键词：

Navier-Stokes equation; variable and distributed delays; unbounded domains;

D O I：

10.1016/j.na.2005.05.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some results on the existence and uniqueness of solutions to Navier-Stokes equations when the domain is unbounded and the external force contains some hereditary characteristics are proved for both the evolutionary and the stationary cases. Exponential stability of the stationary solution is also established in dimension two. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1100 / 1118

页数：19

共 50 条

[21] EPOCHS OF REGULARITY FOR WEAK SOLUTIONS OF THE NAVIER-STOKES EQUATIONS IN UNBOUNDED-DOMAINS
HEYWOOD, JG
[J]. TOHOKU MATHEMATICAL JOURNAL, 1988, 40 (02) : 293 - 313
[22] On partial regularity of suitable weak solutions to the Navier-Stokes equations in unbounded domains
Suzuki, Tomoyuki
[J]. MANUSCRIPTA MATHEMATICA, 2008, 125 (04) : 471 - 493
[23] Approximate controllability of the Navier-Stokes system in unbounded domains
Shorygin, PO
[J]. SBORNIK MATHEMATICS, 2003, 194 (11-12) : 1725 - 1745
[24] Attractors for 2D-Navier-Stokes equations with delays on some unbounded domains
Marin-Rubio, Pedro
Real, Jose
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (10) : 2784 - 2799
[25] INVARIANT MEASURE FOR THE STOCHASTIC NAVIER-STOKES EQUATIONS IN UNBOUNDED 2D DOMAINS
Brzeniak, Zdzislaw
Motyl, Elzbieta
Ondrejat, Martin
[J]. ANNALS OF PROBABILITY, 2017, 45 (05): : 3145 - 3201
[26] On one-dimensional compressible Navier-Stokes equations for a reacting mixture in unbounded domains
Li, Siran
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (05):
[27] Uniqueness of almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains
Farwig, Reinhard
Taniuchi, Yasushi
[J]. JOURNAL OF EVOLUTION EQUATIONS, 2011, 11 (03) : 485 - 508
[28] DECAY OF THE L(INFINITY)-NORM OF SOLUTIONS OF NAVIER-STOKES EQUATIONS IN UNBOUNDED-DOMAINS
WIEGNER, M
[J]. ACTA APPLICANDAE MATHEMATICAE, 1994, 37 (1-2) : 215 - 219
[29] Global symmetric solutions of compressible Navier-Stokes equations for a reacting mixture in unbounded domains
Wan, Ling
Zhang, Teng-Fei
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2023, 74 (06):
[30] On the energy inequality for weak solutions to the Navier-Stokes equations of compressible fluids on unbounded domains
Dell'Oro, Filippo
Feireisl, Eduard
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 128 : 136 - 148

← 1 2 3 4 5 →