On the regularity of weak solutions of the 3D Navier-Stokes equations in $B^{-1}_{\infty,\infty}$
| dc.creator | Cheskidov, Alexey | |
| dc.creator | Shvydkoy, Roman | |
| dc.date | 2007-08-22 | |
| dc.date | 2007-09-06 | |
| dc.date.accessioned | 2026-07-07T08:27:41Z | |
| dc.date.available | 2026-07-07T08:27:41Z | |
| dc.description | We show that if a Leray-Hopf solution $u$ to the 3D Navier-Stokes equation belongs to $C((0,T]; B^{-1}_{\infty,\infty})$ or its jumps in the $B^{-1}_{\infty,\infty}$-norm do not exceed a constant multiple of viscosity, then $u$ is regular on $(0,T]$. Our method uses frequency local estimates on the nonlinear term, and yields an extension of the classical Ladyzhenskaya-Prodi-Serrin criterion. | |
| dc.description | updated version -- a reference was added and a bug fixed | |
| dc.identifier | https://arxiv.org/abs/0708.3067 | |
| dc.identifier | http://arxiv.org/abs/0708.3067 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137351 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 76D03, 35Q30 | |
| dc.title | On the regularity of weak solutions of the 3D Navier-Stokes equations in $B^{-1}_{\infty,\infty}$ | |
| dc.type | text |