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

被引：31

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

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