Published September 21, 2016 | Version v1
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Existence for the α-patch model and the QG sharp front in Sobolev spaces

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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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Junta de Castilla-La Mancha

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Ministerio de Educación y Ciencia

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URL
https://idus.us.es/handle/11441/45191
URN
urn:oai:idus.us.es:11441/45191