Global regularity for a Birkhoff-Rott-alpha approximation of the dynamics of vortex sheets of the 2D Euler equations
| dc.creator | Bardos, Claude | |
| dc.creator | Linshiz, Jasmine S. | |
| dc.creator | Titi, Edriss S. | |
| dc.date | 2007-09-28 | |
| dc.date | 2008-07-04 | |
| dc.date.accessioned | 2026-07-07T09:48:06Z | |
| dc.date.available | 2026-07-07T09:48:06Z | |
| dc.description | We present an alpha-regularization of the Birkhoff-Rott equation, induced by the two-dimensional Euler-alpha equations, for the vortex sheet dynamics. We show that initially smooth self-avoiding vortex sheet remains smooth for all times under the alpha-regularized dynamics, provided the initial density of vorticity is an integrable function over the curve with respect to the arc-length measure. | |
| dc.description | 7 pages, no figures, submitted to the proceedings of the Conference EE250, corrected typos, references added | |
| dc.identifier | https://arxiv.org/abs/0709.4626 | |
| dc.identifier | http://arxiv.org/abs/0709.4626 | |
| dc.identifier | doi:10.1016/j.physd.2008.01.003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164092 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 76B03 (Primary); 35Q35, 76B47 (Secondary) | |
| dc.title | Global regularity for a Birkhoff-Rott-alpha approximation of the dynamics of vortex sheets of the 2D Euler equations | |
| dc.type | text |