Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation

DOI10.1016/j.jde.2021.07.026zbMath1476.35280arXiv2103.03992OpenAlexW3188974100MaRDI QIDQ2045858

Changjun Zou, Weicheng Zhan, Guolin Qin, Dao-Min Cao

Publication date: 16 August 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.03992

zbMATH Keywords

surface quasi-geostrophic (gSQG) equationtraveling-wave vortex solutions

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Vortex flows for incompressible inviscid fluids (76B47) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Traveling wave solutions (35C07) PDEs in connection with geophysics (35Q86) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Geophysical flows (76U60)

Related Items (5)

Multipole Vortex Patch Equilibria for Active Scalar Equations ⋮ Emergence of time periodic solutions for the generalized surface quasi-geostrophic equation in the disc ⋮ A note on the existence of stationary vortex patches for the SQG equation in bounded domain ⋮ Well-posedness for SQG sharp fronts with unbounded curvature ⋮ Infinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipole

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