安徽大学学报（自然科学版）2012，Vol.36Issue(5)：12-15,4.
一个新的三维Navier-Stokes方程的正则性准则
A new regularity criterion for the 3D Navier-Stokes equations
摘要
Abstract
The regularity criterion for the Leary-Hopf weak sloutions to the 3D Navier-Stokes equations in R was considered. By energy method,we obtained a new regularity criterion. Specifically, this paper proved that if a row( column) of deformation tensor satisfies: σ3j ∈ Lp(0,T;Lq)R3)) ,2/P + 3/P = 2,3/2 < q ≤ ∞,j =1,2,3, then the weak solution was actually smooth.关键词
Navier-Stokes方程/弱解/正则性准则Key words
Navier-Stokes equations/weak solution/regularity criterion分类
数理科学引用本文复制引用
张辉..一个新的三维Navier-Stokes方程的正则性准则[J].安徽大学学报（自然科学版）,2012,36(5):12-15,4.基金项目
国家自然科学基金资助项目(10971174) （10971174）
