Asymptotic limit of fast rotation for the incompressible Navier-Stokes equations in a 3D layer
Asymptotic limit of fast rotation for the incompressible Navier-Stokes equations in a 3D layer
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3D 层中不可压缩纳维-斯托克斯方程快速旋转的渐近极限
DOI：
10.1007/s00028-021-00697-z
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发表时间：
2021
影响因子：
1.4
通讯作者：
Hiroki Ohyama and Ryo Takada
中科院分区：
文献类型：
--
作者：
Jha Rajveer;Goto Yosuke;Matsuda Tatsuma D.;Aoki Yuji;Mizuguchi Yoshikazu;Hiroki Ohyama and Ryo Takada
考虑三维无限大层中具有科氏力的Navier-Stokes方程的初值问题。当旋转速度足够高时，我们证明了尺度不变空间中初值问题整体解的唯一性。此外，我们还考虑了快速旋转的渐近极限，证明了整体解在一定的整体时空范数下收敛于二维不可压缩的Navier-Stokes方程的解。
We consider the initial value problem for the Navier–Stokes equation with the Coriolis force in a three-dimensional infinite layer. We prove the unique existence of global solutions for initial data in the scaling-invariant space when the speed of rotation is sufficiently high. Furthermore, we consider the asymptotic limit of the fast rotation and show that the global solution converges to that of 2D incompressible Navier–Stokes equations in some global in time space-time norms.