Existence of periodic solutions and their asymptotic stability to the Navier-Stokes equations with the Coriolis force

被引：8
|
作者：
Kozono, Hideo [1 ]
Mashiko, Yuki [2 ]
Takada, Ryo [2 ]
机构：
[1] Waseda Univ, Fac Sci & Engn, Dept Math, Tokyo 1698555, Japan
[2] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan
来源：
JOURNAL OF EVOLUTION EQUATIONS | 2014年 / 14卷 / 03期
关键词：
REPRODUCTIVE PROPERTY; REGULARITY; EULER; FLOWS;
D O I：
10.1007/s00028-014-0228-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the time-periodic problem for the Navier-Stokes equations in the rotational framework. We prove the unique existence of time-periodic solutions for the prescribed external force. Furthermore, we also show the asymptotic stability of small time-periodic solutions provided the initial disturbance is sufficiently small.
引用
收藏
页码：565 / 601
页数：37
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