Regularity criteria for suitable weak solutions of the Navier-Stokes equations near the boundary
| dc.creator | Gustafson, Stephen | |
| dc.creator | Kang, Kyungkeun | |
| dc.creator | Tsai, Tai-Peng | |
| dc.date | 2005-05-10 | |
| dc.date.accessioned | 2026-07-07T05:19:46Z | |
| dc.date.available | 2026-07-07T05:19:46Z | |
| dc.description | We present some new regularity criteria for ``suitable weak solutions'' of the Navier-Stokes equations near the boundary in dimension three. We prove that suitable weak solutions are Hölder continuous up to the boundary provided that the scaled mixed norm $L^{p,q}_{x,t}$ with $3/p+2/q\leq 2, 2<q\le \infty$, $(p,q) \not = (3/2,\infty)$, is small near the boundary. Our methods yield new results in the interior case as well. Partial regularity of weak solutions is also analyzed under some conditions of the Prodi-Serrin type. | |
| dc.identifier | https://arxiv.org/abs/math/0505190 | |
| dc.identifier | http://arxiv.org/abs/math/0505190 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75142 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Regularity criteria for suitable weak solutions of the Navier-Stokes equations near the boundary | |
| dc.type | text |