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

DOI10.1090/proc/16487zbMath1527.76007OpenAlexW4361200722MaRDI QIDQ6095818

Shanfa Lai, Guolin Qin, Dao-Min Cao

Publication date: 8 September 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/16487

zbMATH Keywords

Lyapunov-Schmidt reduction methodimplicit function theoremvortex patchsurface quasi-geostrophic equationKirchhoff-Routh functionnon-degenerate critical point

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Euler equations (35Q31)

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