A New Regularity Criterion for the 3D Navier-Stokes Equations via Two Entries of the Velocity Gradient Tensor

Zujin Zhang; Dingxing Zhong; Lin Hu

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A New Regularity Criterion for the 3D Navier-Stokes Equations via Two Entries of the Velocity Gradient Tensor

机译：通过两个速度梯度张量的项来确定3D Navier-Stokes方程的新正则性准则

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摘要

We consider the Cauchy problem for the incompressible Navier-Stokes equations in R~3, and provide a new regularity criterion involving only two entries of the Jacobian matrix of the velocity field.

机译：我们考虑了R〜3中不可压缩的Navier-Stokes方程的柯西问题，并提供了仅涉及速度场雅可比矩阵的两个项的新规则性准则。

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《Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications》 |2014年第1期|共7页
作者
Zujin Zhang; Dingxing Zhong; Lin Hu;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Incompressible Navier-Stokes equations; Regularity criterion; Global regularity; Weak solutions; Strong solutions;

机译：不可压缩Navier-Stokes方程正则性准则整体正则性弱解强解;

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专利

1. A New Regularity Criterion for the 3D Navier-Stokes Equations via Two Entries of the Velocity Gradient Tensor [J] . Zujin Zhang, Dingxing Zhong, Lin Hu Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications . 2014,第1期

机译：通过两个速度梯度张量的项来确定3D Navier-Stokes方程的新正则性准则
2. Two new regularity criteria for the 3D Navier-Stokes equations via two entries of the velocity gradient tensor [J] . Zhang Z., Yao Z.-A., Li P., Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications . 2013,第1期

机译：通过两个速度梯度张量输入，两个新的3D Navier-Stokes方程正则性准则
3. Global Regularity Criterion for the 3D Navier–Stokes Equations Involving One Entry of the Velocity Gradient Tensor [J] . Chongsheng Cao, Edriss S. Titi Archive for Rational Mechanics and Analysis . 2011,第3期

机译：涉及速度梯度张量的一项的3D Navier-Stokes方程的全局正则性判据
4. A note on regularity criterion for the Navier-Stokes equations in terms of the pressure [C] . Ningchen Ying 2011 International Conference on Multimedia Technology . 2011

机译：关于Navier-Stokes方程的压力正则性准则的注记
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. An Osgood Type Regularity Criterion for the 3D Boussinesq Equations [O] . Qiang Wu, Lin Hu, Guili Liu -1

机译：3D Boussinesq方程的Osgood类型正则性准则
7. Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor [O] . Cao, Chongsheng, Titi, Edriss S. 2010

机译：三维Navier-stokes方程的全局正则性判据速度梯度张量的一个入口

A New Regularity Criterion for the 3D Navier-Stokes Equations via Two Entries of the Velocity Gradient Tensor

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