Global solutions for the Navier-Stokes equations in the rotational framework
Global solutions for the Navier-Stokes equations in the rotational framework
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DOI：
10.1007/s00208-013-0923-4
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发表时间：
2013-01
影响因子：
1.4
通讯作者：
T. Iwabuchi;Ryo Takada
中科院分区：
文献类型：
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作者：
T. Iwabuchi;Ryo Takada
在齐次Sobolev空间中，当旋转速度足够大时，证明了带Coriolis力的Navier-Stokes方程整体唯一解的存在性.这种现象被称为全局规律性。导出了初始基准尺寸与旋转速度的关系。证明是基于与线性化方程相关的半群的Eschenhartz型时空估计。在标度临界空间中，也显示了全局正则性。
The existence of global unique solutions to the Navier-Stokes equations with the Coriolis force is established in the homogeneous Sobolev spacesforif the speed of rotation is sufficiently large. This phenomenon is so-called the global regularity. The relationship between the size of initial datum and the speed of rotation is also derived. The proof is based on the space time estimates of the Strichartz type for the semigroup associated with the linearized equations. In the scaling critical space, the global regularity is also shown.