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

被引：0
|
作者：
Tsukasa Iwabuchi
Ryo Takada
机构：
[1] Faculty of Science and Engineering,Department of Mathematics
[2] Chuo University,Department of Mathematics
[3] Kyoto University,undefined
来源：
Journal of Evolution Equations | 2012年 / 12卷
关键词：
Primary 35Q30; Secondary 35B10; The Navier-Stokes equations; The Coriolis force; Time periodic solutions; Dispersive effects of the Coriolis force;
D O I：
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中图分类号：
学科分类号：
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.
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页码：985 / 1000
页数：15
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