Steady asymmetric vortex pairs for Euler equations

DOI10.3934/dcds.2020348zbMath1460.35286arXiv2004.02306OpenAlexW3093074348MaRDI QIDQ1995580

Taoufik Hmidi, Zineb Hassainia

Publication date: 24 February 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.02306

zbMATH Keywords

vortex dynamicsEuler equationsdesingularizationimplicit function theoremsteady vortex pairs

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) General theory of rotating fluids (76U05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Differential geometry of symmetric spaces (53C35) Euler equations (35Q31)

Related Items

Multipole Vortex Patch Equilibria for Active Scalar Equations, Existence of stationary vortex sheets for the 2D incompressible Euler equation, Vortex rigid motion in quasi-geostrophic shallow-water equations, Time Periodic Doubly Connected Solutions for the 3D Quasi-Geostrophic Model, A note on the existence of stationary vortex patches for the SQG equation in bounded domain, Time quasi-periodic vortex patches of Euler equation in the plane, Existence of traveling asymmetric vortex pairs in an ideal fluid, Global bifurcation for corotating and counter-rotating vortex pairs, Multiscale rotating vortex patches for 2D Euler flows in a disk

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