Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations

Fan J.; Jiang S.; Nakamura G.; Zhou Y.

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Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations

机译：Navier-Stokes和MHD方程的对数正则性准则

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摘要

In this paper, logarithmically improved regularity criteria for the Navier-Stokes and the MHD equations are established in terms of both the vorticity field and the pressure.

机译：在本文中，在涡度场和压力方面建立了对数改进的Navier-Stokes和MHD方程的正则性准则。

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来源
《Journal of mathematical fluid mechanics》 |2011年第4期|共15页
作者
Fan J.; Jiang S.; Nakamura G.; Zhou Y.;
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正文语种 eng
中图分类流体力学;
关键词
MHD equations; Navier-Stokes equations; regularity criteria;

机译：MHD方程;Navier-Stokes方程;正则性准则;

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专利

1. Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations [J] . Fan J., Jiang S., Nakamura G., Journal of mathematical fluid mechanics . 2011,第4期

机译：Navier-Stokes和MHD方程的对数正则性准则
2. Logarithmically improved regularity criteria for the Navier-Stokes equations in Lorentz spaces [J] . Wei Z., Wang Y.-Z., Wang Y.-X. Applied mathematics and computation . 2012,第19期

机译：Lorentz空间中Navier-Stokes方程的对数改进正则性准则
3. On logarithmically improved regularity criteria for the Navier-Stokes equations in ?~n [J] . Fan J., Jiang S., Nakamura G. IMA Journal of Applied Mathematics . 2011,第2期

机译：关于n〜n中Navier-Stokes方程的对数改进正则性准则
4. Partial Regularity for the 3D Navier-Stokes Equations [C] . James C. Robinson CIME School on "Mathematical Analysis of the Navier-Stokes Equations: Foundations and Overview of Basic Open Problems" . 2020

机译：3D Navier-Stokes方程的部分规律
5. On elliptic equations with low-regularity divergence-free drift terms and the steady-state Navier-Stokes equations in higher dimensions. [D] . Kontovourkis, Michalis. 2007

机译：具有低规则性无散度漂移项的椭圆方程和高维稳态Navier-Stokes方程。
6. Assessment of air flow distribution and hazardous release dispersion around a single obstacle using Reynolds-averaged Navier-Stokes equations [O] . Konstantinos Vasilopoulos, Ioannis E. Sarris, Panagiotis Tsoutsanis 2019

机译：使用雷诺平均Navier-Stokes方程评估单个障碍物周围的气流分布和有害释放物扩散
7. Logarithmic and improved regularity criteria for the 3D nematic liquid crystals models, Boussinesq system, and MHD equations in a bounded domain [O] . L.C. Berselli, J. Fan 2015

机译：3D的对数和改进的规律性标准向列液晶模型，Boussinesq系统和有界域中的MHD方程

Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations

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