Two component regularity for the Navier-Stokes equations
oleh: Jishan Fan, Hongjun Gao
| Format: | Article |
|---|---|
| Diterbitkan: | Texas State University 2009-09-01 |
Deskripsi
We consider the regularity of weak solutions to the Navier-Stokes equations in $mathbb{R}^3$. Let $u:=(u_1,u_2,u_3)$ be a weak solution and $widetilde{u}:=(u_1,u_2,0)$. We prove that $u$ is strong solution if $ ablawidetilde{u}$ satisfy Serrin's type criterion.