轴对称Navier-Stokes方程的一类正则性准则

A Type of Regularity Criteria for the Axisymmetric Navier-Stokes Equation

龙卷风是一种严重的自然灾害，科学家们希望能够减少龙卷风造成的生命损失和财产损失．而Navier—Stokes方程的轴对称结构对龙卷风的数学分析和数值模拟都具有重要意义．考虑轴对称的三维不可压Navier—Stokes方程，得到了一类关于分量Г的正则性准则．

Tornadoes are one type of violent flow phenomenon and occur in many places in the world. There are many research methods that aim to reduce the loss of human lives and material damage caused by tornadoes. The swirling structure of the Navier-Stokes flow is significant for both the mathematical analysis and numerical simulations of tornadoes. In this paper, we consider the three-dimension axisymmetric incompressible Navier-Stokes equation, and obtain a regularity criterion for the component Г.