Existence of stationary solutions of the Navier-Stokes equations in two dimensions in the presence of a wall

被引：10

作者：

Hillairet, Matthieu ^{[1
]}

Wittwer, Peter ^{[2
]}

机构：

[1] Univ Toulouse 3, CNRS, UMR 5219, IMT, F-31062 Toulouse 09, France

[2] Univ Geneva, Dept Phys Theor, CH-1211 Geneva 4, Switzerland

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2009年 / 9卷 / 04期

关键词：

Navier-Stokes equations; Stationary solutions; Fluid structure interaction;

D O I：

10.1007/s00028-009-0029-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the problem of a body moving within an incompressible fluid at constant speed parallel to a wall, in an otherwise unbounded domain. This situation is modeled by the incompressible Navier-Stokes equations in an exterior domain in a half space, with appropriate boundary conditions on the wall, the body, and at infinity. Here we prove existence of stationary solutions for this problem for the simplified situation where the body is replaced by a source term of compact support.

引用

页码：675 / 706

页数：32

共 50 条

[41] Stability of stationary solutions of the forced Navier-Stokes equations on the two-torus
Tran, CV
Shepherd, TG
Cho, HR
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2002, 2 (04): : 483 - 494
[42] On the existence of solutions to the Navier-Stokes equations of a two-dimensional compressible flow
Erban, R
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2003, 26 (06) : 489 - 517
[43] On the Navier problem for the stationary Navier-Stokes equations
Russo, Antonio
Tartaglione, Alfonsina
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (09) : 2387 - 2408
[44] Uniqueness theorem for the approximable solutions of the solutions of the stationary Navier-stokes equations
Prouse, G.
Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei, Matematica e Applicazioni, 1993, 3 (09):
[45] ON A CRITERION FOR LOCATING STABLE STATIONARY SOLUTIONS TO THE NAVIER-STOKES EQUATIONS
TITI, ES
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1987, 11 (09) : 1085 - 1102
[46] On Nonexistence for Stationary Solutions to the Navier-Stokes Equations with a Linear Strain
Hsu, Pen-Yuan
Maekawa, Yasunori
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2013, 15 (02) : 317 - 333
[47] Regularity of solutions to non-stationary Navier-Stokes equations
Amosova, E., V
ALL-RUSSIAN CONFERENCE AND SCHOOL FOR YOUNG SCIENTISTS, DEVOTED TO 100TH ANNIVERSARY OF ACADEMICIAN L.V. OVSIANNIKOV - MATHEMATICAL PROBLEMS OF CONTINUUM MECHANICS, 2019, 1268
[48] Self-similar solutions of stationary Navier-Stokes equations
Shi, Zuoshunhua
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 264 (03) : 1550 - 1580
[49] Stationary Solutions for Stochastic Damped Navier-Stokes Equations in Rd
Brzezniak, Zdzislaw
Ferrario, Benedetta
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2019, 68 (01) : 105 - 138
[50] On uniqueness of stationary solutions to the Navier-Stokes equations in exterior domains
Nakatsuka, Tomoyuki
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (08) : 3457 - 3464

← 1 2 3 4 5 →