Growth of anti-parallel vorticity in Euler flows

DOI10.1016/j.physd.2008.02.028zbMath1143.76405OpenAlexW2154353469MaRDI QIDQ942746

Stephen Childress

Publication date: 5 September 2008

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2008.02.028

zbMATH Keywords

axisymmetric flow without swirlvorticity growth

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (3)

Filamentation near Hill’s vortex ⋮ Eroding dipoles and vorticity growth for Euler flows in : axisymmetric flow without swirl ⋮ Absence of singular stretching of interacting vortex filaments

Cites Work

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• Dynamic depletion of vortex stretching and non-blowup of the 3-D incompressible Euler equations
• Nonexistence of locally self-similar blow-up for the 3D incompressible Navier-Stokes equations
• Symmetry and the hydrodynamic blow-up problem
• Vortex dynamics and the existence of solutions to the Navier–Stokes equations
• Nearly two-dimensional solutions of Euler’s equations
• Area-varying waves on curved vortex tubes with application to vortex breakdown
• Dynamical aspects of vortex reconnection of perturbed anti-parallel vortex tubes
• Evidence for a singularity of the three-dimensional, incompressible Euler equations

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