Co-rotating vortices with N fold symmetry for the inviscid surface quasi-geostrophic equation

DOI10.1512/iumj.2023.72.9206zbMath1514.35332arXiv2010.08194OpenAlexW3093014082MaRDI QIDQ6045855

Didier Smets, Philippe Gravejat, Ludovic Godard-Cadillac

Publication date: 12 May 2023

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.08194

zbMATH Keywords

vortex patchesrotating framequasi-geostrophic equationsvariational construction

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Hydrology, hydrography, oceanography (86A05) Vortex flows for incompressible inviscid fluids (76B47) Variational methods applied to PDEs (35A15) PDEs in connection with geophysics (35Q86) Euler equations (35Q31) Geophysical flows (76U60)

Related Items (5)

On the global classical solutions for the generalized SQG equation ⋮ Multipole Vortex Patch Equilibria for Active Scalar Equations ⋮ Hölder regularity for collapses of point-vortices ⋮ A note on the existence of stationary vortex patches for the SQG equation in bounded domain ⋮ Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation

Cites Work

• Unnamed Item
• Existence of corotating and counter-rotating vortex pairs for active scalar equations
• Desingularization of vortices for the Euler equation
• A global theory of steady vortex rings in an ideal fluid
• On the V-states for the generalized quasi-geostrophic equations
• Symmetry in stationary and uniformly rotating solutions of active scalar equations
• Point vortices for inviscid generalized surface quasi-geostrophic models
• Global Smooth Solutions for the Inviscid SQG Equation
• On steady vortex flow in two dimensions. I
• Steady symmetric vortex pairs and rearrangements
• Steady planar vortex pairs in an ideal fluid
• Surface quasi-geostrophic dynamics
• Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation
• Nonuniqueness of Weak Solutions to the SQG Equation

This page was built for publication: Co-rotating vortices with N fold symmetry for the inviscid surface quasi-geostrophic equation