Global Solutions to 3D Rotating Boussinesq Equations in Besov Spaces
Global Solutions to 3D Rotating Boussinesq Equations in Besov Spaces
复制标题
Besov 空间中 3D 旋转 Boussinesq 方程的全局解
DOI：
10.1007/s10884-019-09747-0
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发表时间：
2019
影响因子：
1.3
通讯作者：
Minghua Yang
中科院分区：
文献类型：
--
作者：
Jinyi Sun;Chunlan Liu;Minghua Yang
本文考虑三维旋转Boussinesq 方程。通过在拉普拉斯耗散的正则化效应和科里奥利力的色散效应之间取得新的平衡，我们获得了三维旋转布辛涅斯克方程柯西问题的温和解的全局存在性。特别地，只要旋转速度足够高，初速度范数的大小可以是任意大。
In this paper, the three-dimensional rotating Boussinesq equations are considered. By striking new balances between the regularizing effects of the Laplacian dissipation and the dispersive effects of the Coriolis force, we obtain the global existence of mild solutions to Cauchy problem of the three-dimensional rotating Boussinesq equations. Particularly, the size of the norm of initial velocity can be arbitrarily large, provided that the speed of rotation is sufficiently high.