Corotating steady vortex flows with N-fold symmetry

DOI10.1016/0362-546X(85)90059-8zbMath0584.76027OpenAlexW2012298757MaRDI QIDQ3707622

Bruce Turkington

Publication date: 1985

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(85)90059-8

zbMATH Keywords

existencevariational problemEuler equationsN-fold symmetric corotating steady flowsN-fold symmetric singly-connected vortex patches

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Nonlinear effects in hydrodynamic stability (76E30) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10)

Related Items (13)

On the evolution of a concentrated vortex in an ideal fluid ⋮ Multipole Vortex Patch Equilibria for Active Scalar Equations ⋮ Kármán vortex street for the generalized surface quasi-geostrophic equation ⋮ Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation ⋮ Global bifurcation for corotating and counter-rotating vortex pairs ⋮ Desingularization of Vortices for Two-Dimensional Steady Euler Flows via the Vorticity Method ⋮ Multiscale rotating vortex patches for 2D Euler flows in a disk ⋮ Existence of corotating and counter-rotating vortex pairs for active scalar equations ⋮ Steady asymmetric vortex pairs for Euler equations ⋮ A framework for linear stability analysis of finite-area vortices ⋮ 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 ⋮ Global solutions for the generalized SQG equation and rearrangements

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