Stability of Time Periodic Solutions for the Rotating Navier-Stokes Equations

Stability of Time Periodic Solutions for the Rotating Navier-Stokes Equations
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旋转纳维-斯托克斯方程时间周期解的稳定性

DOI:
10.1007/978-3-0348-0939-9_17
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发表时间:
2016
期刊:
影响因子:
--
通讯作者:
R. Takada
R. Takada
中科院分区:
--
文献类型:
--
作者:
T. Iwabuchi;A. Mahalov;R. Takada

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研究了旋转Navier-Stokes方程时间周期解的稳定性问题。对于非旋转情形,在时间周期解和初始扰动均为小的假设下,原Navier-Stokes方程的时间周期解是渐近稳定的.我们将处理高旋转的情况下,并证明大的时间周期解的渐近稳定性大的初始扰动。
We consider the stability problem of time periodic solutions for the rotating Navier-Stokes equations. For the non-rotating case, it is known that time periodic solutions to the original Navier-Stokes equations are asymptotically stable under the smallness assumptions both on the time periodic solutions and on the initial disturbances. We shall treat the high-rotating cases, and prove the asymptotic stability of large time periodic solutions for large initial perturbations.
DOI: 10.1007/bf00380792
发表时间: 1994-01-01
影响因子: 2.5
作者:
KOZONO, H;OGAWA, T
通讯作者: OGAWA, T