Existence for the $\al$-patch model and the QG sharp front in Sobolev spaces
| dc.creator | Gancedo, Francisco | |
| dc.date | 2007-01-16 | |
| dc.date.accessioned | 2026-07-07T07:41:18Z | |
| dc.date.available | 2026-07-07T07:41:18Z | |
| dc.description | We consider a family of contour dynamics equations depending on a parameter $\al$ with $0<α\leq 1$. The vortex patch problem of the 2-D Euler equation is obtained taking $α\to 0$, and the case $α=1$ corresponds to a sharp front of the QG equation. We prove local-in-time existence for the family of equations in Sobolev spaces. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0701447 | |
| dc.identifier | http://arxiv.org/abs/math/0701447 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122057 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Existence for the $\al$-patch model and the QG sharp front in Sobolev spaces | |
| dc.type | text |