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。By striking...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。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 bearbitrarily large provided that the speed of rotation is sufficiently high.展开更多
文摘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。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 bearbitrarily large provided that the speed of rotation is sufficiently high.
基金Supported by the National Nature Science Foundation of China(61070231)the Outstanding Personnal Programin Six Fields of Jiangsu(2009188)the Scientific Research Foundation of Nanjing Institute of Technology(QKJA2010011)
