三维广义 Navier-Stokes-Coriolis方程组在 Besov 空间中的整体适定性
Global Well-Posedness of theThree-Dimensional Generalized Navier-Stokes-Coriolis Equations in Besov Spaces
DOI: 10.12677/PM.2024.148301, PDF,    科研立项经费支持
作者: 买园伟*, 王伟宁：西北师范大学数学与统计学院，甘肃 兰州
关键词: 广义 Navier-Stokes 方程组；Coriolis 力；整体适定性；Generalized Navier-Stokes Equations； Coriolis Force； Global Well-Posedness
摘要: 通过在分数阶拉普拉斯耗散的正则化效应和 Coriolis 力的色散效应之间建立新的平衡，我们证明了三维广义 Navier-Stokes-Coriolis 方程组柯西问题在 Besov 空间中的整体适定性。特别地,当旋转速度足够快时，允许初速度任意大。
Abstract: By striking new balances between the regularizing effects of the fractional Lapla- cian dissipation and the dispersive effects of Coriolis force, we prove the global well- posedness of Cauchy problem for the three-dimensional generalized Navier-Stokes- Coriolis equations in Besov spaces. Particularly, it is shown that initial velocity can be arbitrarily large provided that the speed of rotation is sufficiently high.
文章引用：买园伟, 王伟宁. 三维广义 Navier-Stokes-Coriolis方程组在 Besov 空间中的整体适定性[J]. 理论数学, 2024, 14(8): 31-45. https://doi.org/10.12677/PM.2024.148301

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