On the existence of vanishing at infinity symmetric solutions to the plane stationary exterior Navier-Stokes problem

被引：29

作者：

Pileckas, Konstantin ^{[1
]}

Russo, Remigio ^{[2
]}

机构：

[1] Vilnius State Univ, Dept Math & Informat, LT-03225 Vilnius, Lithuania

[2] Univ Naples 2, Dipartimento Matemat, I-81100 Caserta, Italy

来源：

MATHEMATISCHE ANNALEN | 2012年 / 352卷 / 03期

关键词：

2; DIMENSIONS; EQUATIONS; FLOW; DOMAIN; BODY;

D O I：

10.1007/s00208-011-0653-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a nonhomogeneous boundary-value problem for the steady-state Navier-Stokes equations in a two-dimensional exterior domain with two orthogonal symmetry axes. The existence of a solution which tends to zero uniformly at infinity is proved under suitable parity conditions on the data of the problem. The result is obtained for arbitrary values of the flux of the boundary datum.

引用

页码：643 / 658

页数：16

共 50 条

[1] On the existence of vanishing at infinity symmetric solutions to the plane stationary exterior Navier–Stokes problem
Konstantin Pileckas
Remigio Russo
Mathematische Annalen, 2012, 352 : 643 - 658
[2] Symmetric stationary solutions to the plane exterior Navier-Stokes problem for arbitrary large Reynolds number
Galdi, GP
APPLIED NONLINEAR ANALYSIS, 1999, : 149 - 158
[3] THE EXTERIOR PROBLEM FOR THE STATIONARY NAVIER-STOKES EQUATIONS - ON THE EXISTENCE AND REGULARITY
SALVI, R
LECTURE NOTES IN MATHEMATICS, 1992, 1530 : 132 - 145
[4] VORTICITY AT INFINITY FOR SOLUTIONS OF STATIONARY NAVIER-STOKES EQUATIONS IN EXTERIOR DOMAINS
CLARK, DC
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1971, 20 (07) : 633 - &
[5] On the existence of singular solutions of the stationary Navier-Stokes problem
Russo, Antonio
Tartaglione, Alfonsina
LITHUANIAN MATHEMATICAL JOURNAL, 2013, 53 (04) : 423 - 437
[6] Existence and Uniqueness of Weak Solutions to the Two-Dimensional Stationary Navier-Stokes Exterior Problem
Yamazaki, Masao
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2018, 20 (04) : 2019 - 2051
[7] EXISTENCE OF RADIALLY SYMMETRIC STATIONARY SOLUTIONS FOR THE COMPRESSIBLE NAVIER-STOKES EQUATION
HASHIMOTO, I. T. S. U. K. O.
MATSUMURA, A. K. I. T. A. K. A.
METHODS AND APPLICATIONS OF ANALYSIS, 2021, 28 (03) : 299 - 312
[8] ON THE CONVERGENCE AT INFINITY OF SOLUTIONS WITH FINITE DIRICHLET INTEGRAL TO THE EXTERIOR DIRICHLET PROBLEM FOR THE STEADY PLANE NAVIER-STOKES SYSTEM OF EQUATIONS
SOCOLESCU, D
LECTURE NOTES IN MATHEMATICS, 1988, 1340 : 256 - 274
[9] Exterior problem for the stationary Navier-Stokes equations in the Lorentz space
Hideo Kozono
Masao Yamazaki
Mathematische Annalen, 1998, 310 : 279 - 305
[10] Classical solutions to the stationary Navier-Stokes system in exterior domains
Maremonti, P
Russo, R
Starita, G
NAVIER-STOKES EQUATIONS: THEORY AND NUMERICAL METHODS, 2002, 223 : 53 - 64

← 1 2 3 4 5 →