Time periodic solutions to the Navier–Stokes equations in the rotational framework
Time periodic solutions to the Navier–Stokes equations in the rotational framework
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DOI：
10.1007/s00028-012-0165-z
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发表时间：
2012-09
影响因子：
1.4
通讯作者：
T. Iwabuchi;Ryo Takada
中科院分区：
文献类型：
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作者：
T. Iwabuchi;Ryo Takada
在转动框架下考虑了周期外力作用下的Navier-Stokes方程。我们给出了外力大小的充分条件的存在时间周期解的科里奥利参数。它遵循我们的条件，时间周期解的唯一存在性是保证大的外力提供的旋转速度是足够快的。
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.