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

[1] The Navier-Stokes equations over unbounded domains
Kähler, UU
[J]. PROCEEDINGS OF THE SECOND ISAAC CONGRESS, VOLS 1 AND 2, 2000, 7 : 1431 - 1446
[2] Difference potentials for the Navier-Stokes equations in unbounded domains
Faustino, N.
Guerlebeck, K.
Hommel, A.
Kaehler, U.
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2006, 12 (06) : 577 - 595
[3] Periodic solutions of the Navier-Stokes equations in unbounded domains
Kozono, H
Nakao, M
[J]. TOHOKU MATHEMATICAL JOURNAL, 1996, 48 (01) : 33 - 50
[4] Stochastic Navier-Stokes Equations in Unbounded Channel Domains
Manna, Utpal
Mohan, Manil T.
Sritharan, Sivaguru S.
[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2015, 17 (01) : 47 - 86
[5] Navier-stokes equations on unbounded domains with rough initial data
Kunstmann, Peer Christian
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2010, 60 (02) : 297 - 313
[6] On the energy equality of Navier-Stokes equations in general unbounded domains
Farwig, Reinhard
Taniuchi, Yasushi
[J]. ARCHIV DER MATHEMATIK, 2010, 95 (05) : 447 - 456
[7] Strong solutions for the nonhomogeneous Navier-Stokes equations in unbounded domains
Braz e Silva, P.
Rojas-Medar, M. A.
Villamizar-Roa, E. J.
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (03) : 358 - 372
[8] Clifford analysis and the navier-stokes equations over unbounded domains
U. Kähler
[J]. Advances in Applied Clifford Algebras, 2001, 11 (Suppl 1) : 305 - 318
[9] Navier-stokes equations on unbounded domains with rough initial data
Peer Christian Kunstmann
[J]. Czechoslovak Mathematical Journal, 2010, 60 : 297 - 313
[10] Navier-Stokes equations with delays
Caraballo, T
Real, J
[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2001, 457 (2014): : 2441 - 2453

← 1 2 3 4 5 →