论文标题
Navier-Stokes方程的弱解决方案
Weak solutions to the Navier-Stokes equations
论文作者
论文摘要
我们证明了与$ \ mathbb {r}^m,m \ ge 3 $中的navier-stokes方程相同的等效性,以满足众所周知的积分方程。我们使用此方程来得出这些弱解决方案的某些属性。
We prove the equivalence of being a Leray-Hopf weak solution to the Navier-Stokes equations in $\mathbb{R}^m, m \ge 3$, to satisfying a well known integral equation. We use this equation to derive some properties of these weak solutions.