Existence for the α-patch model and the QG sharp front in Sobolev spaces
We consider a family of contour dynamics equations depending on a parameter α with 0<α⩽1. The vortex patch problem of the 2-D Euler equation is obtained taking α→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 So...
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2008 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/45191 |
| Acceso en línea: | http://hdl.handle.net/11441/45191 https://doi.org/10.1016/j.aim.2007.10.010 |
| Access Level: | acceso abierto |
| Palabra clave: | Incompressible flow Contour dynamics Quasi-geostrophic equations Local-in-time existence |
| Sumario: | We consider a family of contour dynamics equations depending on a parameter α with 0<α⩽1. The vortex patch problem of the 2-D Euler equation is obtained taking α→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. |
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