Time periodic solutions to the Navier-Stokes equations in the rotational framework

被引：12

作者：

Iwabuchi, Tsukasa ^{[1
]}

Takada, Ryo ^{[2
]}

机构：

[1] Chuo Univ, Fac Sci & Engn, Dept Math, Tokyo 1128551, Japan

[2] Kyoto Univ, Dept Math, Kyoto 6068502, Japan

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2012年 / 12卷 / 04期

关键词：

The Navier-Stokes equations; The Coriolis force; Time periodic solutions; Dispersive effects of the Coriolis force; INITIAL DATA; REGULARITY; DOMAINS; EULER; FORCE; SPACE;

D O I：

10.1007/s00028-012-0165-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Navier-Stokes equations in the rotational framework with the time periodic external force. We give sufficient conditions on the size of the external forces for the existence of time periodic solutions in terms of the Coriolis parameter. It follows from our conditions that the unique existence of time periodic solutions is guaranteed for large external forces provided the speed of rotation is sufficiently fast.

引用

页码：985 / 1000

页数：16