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Existence for the α-patch model and the QG sharp front in Sobolev spaces

 

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Opened Access Existence for the α-patch model and the QG sharp front in Sobolev spaces
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Author: Gancedo García, Francisco
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2008-04-01
Published in: Advances in Mathematics, 217 (6), 2569-2598.
Document type: Article
Abstract: 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.
Cite: 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.
Size: 215.2Kb
Format: PDF

URI: http://hdl.handle.net/11441/45191

DOI: 10.1016/j.aim.2007.10.010

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