Rearrangements in steady multiple vortex flows

DOI10.1080/03605309508821141zbMath0841.35086OpenAlexW1498211808MaRDI QIDQ4850962

Kenneth G. Miller, Alan R. Elcrat

Publication date: 18 July 1996

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309508821141

zbMATH Keywords

variational problembounded supportvorticity functioncontinuous pressuresteady inviscid two-dimensional flowstwo stable point vortices

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47)

Related Items

Existence of steady multiple vortex patches to the vortex-wave system ⋮ Steady vortex patches near a nontrivial irrotational flow ⋮ Stationary corner vortex configurations ⋮ Nonlinear stability of planar steady Euler flows associated with semistable solutions of elliptic problems ⋮ Existence of Multiple Boundary Vortexes in Planar Incompressible Euler Flows ⋮ On 2D steady Euler flows with small vorticity near the boundary ⋮ Desingularization of Vortices for Two-Dimensional Steady Euler Flows via the Vorticity Method ⋮ Regularization of point vortices pairs for the Euler equation in dimension two ⋮ Steady vortex patch solutions to the vortex-wave system ⋮ Steady vortex patches with opposite rotation directions in a planar ideal fluid ⋮ Growing vortex patches ⋮ Dipole and multipole flows with point vortices and vortex sheets ⋮ Nonlinear orbital stability for planar vortex patches ⋮ Existence of steady symmetric vortex patch in a disk ⋮ A monotone iteration for concentrated vortices ⋮ Steady vortex patch with polygonal symmetry for the planar Euler equations in a disc ⋮ Nonlinear stability of planar vortex patches in an ideal fluid ⋮ A note on steady vortex flows in two dimensions ⋮ Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain ⋮ Steady vortex dipoles with general profile functions ⋮ Global solutions for the generalized SQG equation and rearrangements

Cites Work

• Rearrangements of functions, saddle points and uncountable families of steady configurations for a vortex
• Stationary corner vortex configurations
• On steady vortex flow in two dimensions. I
• On steady vortex flow in two dimensios, II
• Steady vortex flows with circulation past asymmetric obstacles
• Elliptic Partial Differential Equations of Second Order
• Vortex Dynamics