Two-dimensional stationary Navier-Stokes equations with 4-cyclic symmetry

被引：8

作者：

Yamazaki, Masao ^{[1
,2
]}

机构：

[1] Waseda Univ, Dept Math, Fac Sci & Engn, Tokyo 1698555, Japan

[2] Waseda Univ, Res Inst Sci & Engn, Tokyo 1698555, Japan

来源：

MATHEMATISCHE NACHRICHTEN | 2016年 / 289卷 / 17-18期

关键词：

Navier-Stokes equations; exterior problem; stationary solutions; asymptotic profile; ASYMPTOTIC-BEHAVIOR; PLANE STEADY; BODY; FLOW; UNIQUENESS;

D O I：

10.1002/mana.201500332

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the stationary Navier-Stokes equation in the whole plane and in the two-dimensional exterior domain invariant under the action of the cyclic group of order 4, and gives a condition on the potentials yielding the external force, and on the boundary value, sufficient for the unique existence of a small solution equivariant with respect to the aforementioned cyclic group. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：2281 / 2311

页数：31

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