南阳师范学院学报Issue(12)：1-6,6.
三维轴对称不可压Navier-Stokes方程的奇异性结构
Singularity structure of incompressible three dimensional axi-symmetric Navier-Stokes equations
摘要
Abstract
In this paper, the singularity structure theory of the incompressible three-dimensional axial symmetry Navier-Stokes equation is studied and the complete representation of the Navier-Stokes equation in the cylindrical coordinate system is derived through the direct differential method as well. If the flow speed reaches its maximum value Q0 = u( x0 ,t0 ) at the point ( x0 ,t0 ) , or if r u( x,t) reaches the maximum value r0 u( x0 ,t0 ) at the point ( x0 ,t0 ) , and a transformation of the scale of the space and time with the factor Q0 and the center ( x0 ,t0 ) is made, a tending to nonzero constant vector to C2,1,αlocal norm with u( x,t) can be worked out in a fixed parabolic cube, provided that r0 Q0 is sufficiently large.关键词
Navier-Stokes方程/柱面坐标/轴对称/奇异性结构Key words
Navier-Stokes equations/cylindrical coordinate system/axially-symmetry/singularity structure分类
数理科学引用本文复制引用
邵曙光..三维轴对称不可压Navier-Stokes方程的奇异性结构[J].南阳师范学院学报,2015,(12):1-6,6.基金项目
河南省科技厅资助项目(132300410211 （）
132300410440) （）
