On the regularity criteria for the generalized Navier-Stokes equations and Lagrangian averaged Euler equations
On the regularity criteria for the generalized Navier-Stokes equations and Lagrangian averaged Euler equations
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DOI：
10.57262/die/1356038627
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发表时间：
2008-01
影响因子：
1.4
通讯作者：
Jishan Fan;T. Ozawa
中科院分区：
文献类型：
--
作者：
Jishan Fan;T. Ozawa
分别在Besov空间、Triebel-Lizorkin空间和Lorentz空间中，得到了具有Laplacian分数幂的三维广义Navier-Stokes方程在速度、涡量和压力下解的正则性条件.我们还提出了一个正则性条件的三维拉格朗日平均欧拉方程。
We obtain some regularity conditions for solutions of the 3D generalized Navier-Stokes equations with fractional powers of the Laplacian, in terms of the velocity, the vorticity, and the pressure in Besov space, Triebel-Lizorkin space, and Lorentz space, respectively. We also present a regularity condition for the 3D Lagrangian averaged Euler equations.