A note on the existence of stationary vortex patches for the SQG equation in bounded domain

A note on the existence of stationary vortex patches for the SQG equation in bounded domain

By studying the contour dynamics equation and using the implicit function theorem, we prove the existence of stationary vortex patches with fixed vorticity and total flux for each patch for the surface quasi-geostrophic equation in a bounded domain near non-degenerate critical points of the Kirchhof...

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Veröffentlicht in:Proceedings of the American Mathematical Society 2023-11, Vol.151 (11), p.4881-4891
Hauptverfasser: Cao, Daomin, Lai, Shanfa, Qin, Guolin
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creator Cao, Daomin
Lai, Shanfa
Qin, Guolin
description By studying the contour dynamics equation and using the implicit function theorem, we prove the existence of stationary vortex patches with fixed vorticity and total flux for each patch for the surface quasi-geostrophic equation in a bounded domain near non-degenerate critical points of the Kirchhoff-Routh function.
doi_str_mv 10.1090/proc/16487
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title A note on the existence of stationary vortex patches for the SQG equation in bounded domain
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