科研之友
微信
新浪微博
Facebook
分享链接
摘要
In terms of two partial derivatives of any two components of velocity fields, we give a new criterion for the regularity of solutions of the Navier-Stokes equation in R-3. More precisely, let u = (u(1), u(2), u(3)) be a weak solution in (0, T) x R-3. Then u becomes a classical solution if any two functions of partial derivative(1)u(1), partial derivative(2)u(2) and partial derivative(3)u(3) belong to L-theta(0, T; L-r (R-3)) provided with 2/theta + 3/r = 2, 3/2 <r <= infinity.
- 出版日期2008-10-1
- 单位华中科技大学
