Rearrangements in Steady Vortex Flows with Circulation

DOI10.2307/2048572zbMath0731.35083OpenAlexW4255173156MaRDI QIDQ3356779

Alan R. Elcrat, Kenneth G. Miller

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2048572

zbMATH Keywords

rearrangementsvortex flows

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Variational methods applied to PDEs (35A15)

Related Items (17)

Existence of steady multiple vortex patches to the vortex-wave system ⋮ Multiscale Steady Vortex Patches for 2D Incompressible Euler Equations ⋮ Optimal harvesting strategy based on rearrangements of functions ⋮ An iteration for steady vortices in rearrangement classes ⋮ Existence of traveling asymmetric vortex pairs in an ideal fluid ⋮ Regularization of point vortices pairs for the Euler equation in dimension two ⋮ Asymptotic of Steady Vortex Pair in the Lake Equation ⋮ Steady vortex patches with opposite rotation directions in a planar ideal fluid ⋮ Desingularization of multiscale solutions to planar incompressible Euler equations ⋮ Nonlinear orbital stability for planar vortex patches ⋮ Existence of steady symmetric vortex patch in a disk ⋮ Steady vortex patch with polygonal symmetry for the planar Euler equations in a disc ⋮ Nonlinear stability of planar vortex patches in an ideal fluid ⋮ Traveling vortex pairs for 2D incompressible Euler equations ⋮ Desingularization of a steady vortex pair in the lake equation ⋮ Pseudo-advection method for the two-dimensional stationary Euler equations ⋮ Global solutions for the generalized SQG equation and rearrangements

Cites Work

• On the evolution of a concentrated vortex in an ideal fluid
• Variational problems on classes of rearrangements and multiple configurations for steady vortices
• A general rearrangement inequality for multiple integrals
• On steady vortex flow in two dimensions. I
• On steady vortex flow in two dimensios, II
• Steady vortex flows with circulation past asymmetric obstacles
• Steady symmetric vortex pairs and rearrangements

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