Existence and stability of time-periodic solutions to the Navier-Stokes equations in the whole space
Existence and stability of time-periodic solutions to the Navier-Stokes equations in the whole space
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DOI：
10.1088/0951-7715/4/2/013
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发表时间：
1991-05
期刊：
影响因子：
1.7
通讯作者：
P. Maremonti
中科院分区：
文献类型：
--
作者：
P. Maremonti
证明了充填整个空间的不可压缩流体运动系统的时间周期解的存在性。假设作用在流体上的力场是时间周期的。此外，还得到了该解关于适当范数的唯一性和稳定性。
The existence of time-periodic solutions to the system governing the motion of an incompressible fluid filling the whole space is proved. It is assumed that the force field acting over the fluid is periodic on time. Moreover, uniqueness and stability of this solution with respect to a suitable norm is obtained.