Existence of periodic solutions and their asymptotic stability to the Navier–Stokes equations with the Coriolis force
Existence of periodic solutions and their asymptotic stability to the Navier–Stokes equations with the Coriolis force
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DOI：
10.1007/s00028-014-0228-4
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发表时间：
2014-03
影响因子：
1.4
通讯作者：
H. Kozono;Yukihiro Mashiko;Ryo Takada
中科院分区：
文献类型：
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作者：
H. Kozono;Yukihiro Mashiko;Ryo Takada
我们考虑了旋转框架下Navier-Stokes方程的时间周期问题。我们证明了时间周期解的唯一存在性指定的外力。此外，我们还证明了小的时间周期解的渐近稳定性的初始扰动是足够小的。
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.