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
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页码：2281 / 2311
页数：31
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