Remarks on regularity conditions of the Navier-Stokes equations
| dc.creator | Chae, Dongho | |
| dc.date | 2007-05-16 | |
| dc.date | 2007-05-17 | |
| dc.date.accessioned | 2026-07-07T08:01:48Z | |
| dc.date.available | 2026-07-07T08:01:48Z | |
| dc.description | Let $v$ and $ø$ be the velocity and the vorticity of the a suitable weak solution of the 3D Navier-Stokes equations in a space-time domain containing $z_0 =(x_0, t_0)$, and $Q_{z_0, r} =B_{x_0, r}\times (t_0-r^2, t_0)$ be a parabolic cylinder in the domain. We show that if $v\times \fracø{|ø|}\in L^{γ, α}_{x,t} (Q_{z_0, r})$ or $ø\times \frac{v}{|v|}\in L^{γ, α}_{x,t} (Q_{z_0, r})$, where $L^{γ, α}_{x,t}$ denotes the Serrin type of class, then $z_0$ is a regular point for $v$. This refines previous local regularity criteria for the suitable weak solutions. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/0705.2285 | |
| dc.identifier | http://arxiv.org/abs/0705.2285 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129033 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Remarks on regularity conditions of the Navier-Stokes equations | |
| dc.type | text |