An analytical and numerical study of steady patches in the disc
From MaRDI portal
Publication:340144
DOI10.2140/apde.2016.9.1609zbMath1353.35229arXiv1510.01550OpenAlexW2252697846MaRDI QIDQ340144
Francisco de la Hoz Méndez, Joan Mateu, Zineb Hassainia, Taoufik Hmidi
Publication date: 11 November 2016
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.01550
PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcations in context of PDEs (35B32) Euler equations (35Q31)
Related Items (20)
Rotating vortex patches for the planar Euler equations in a disk ⋮ Multipole Vortex Patch Equilibria for Active Scalar Equations ⋮ Periodic solutions with prescribed minimal period of vortex type problems in domains ⋮ Existence of stationary vortex sheets for the 2D incompressible Euler equation ⋮ Emergence of time periodic solutions for the generalized surface quasi-geostrophic equation in the disc ⋮ Time Periodic Doubly Connected Solutions for the 3D Quasi-Geostrophic Model ⋮ On evolution of corner-like gSQG patches ⋮ Non uniform rotating vortices and periodic orbits for the two-dimensional Euler equations ⋮ On the rapidly rotating vorticity in the unit disk ⋮ Global bifurcation for corotating and counter-rotating vortex pairs ⋮ Steady asymmetric vortex pairs for Euler equations ⋮ On radial symmetry of rotating vortex patches in the disk ⋮ On the local existence and blow-up for generalized SQG patches ⋮ Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation ⋮ Symmetry in stationary and uniformly rotating solutions of active scalar equations ⋮ Computer-assisted proofs in PDE: a survey ⋮ Stability and instability of Kelvin waves ⋮ Quantitative estimates for uniformly-rotating vortex patches ⋮ Time periodic solutions for 3D quasi-geostrophic model ⋮ On Singular Vortex Patches, I: Well-posedness Issues
This page was built for publication: An analytical and numerical study of steady patches in the disc