Artículo
Existence for the α-patch model and the QG sharp front in Sobolev spaces
Autor/es | Gancedo García, Francisco |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2008-04-01 |
Fecha de depósito | 2016-09-21 |
Publicado en |
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Resumen | 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 ... 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. |
Agencias financiadoras | Junta de Castilla-La Mancha Ministerio de Educación y Ciencia (MEC). España |
Identificador del proyecto | PAC-05-005-2
MTM2005-05980 |
Cita | Gancedo García, F. (2008). Existence for the α-patch model and the QG sharp front in Sobolev spaces. Advances in Mathematics, 217 (6), 2569-2598. |
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