Universality of the Anomalous Enstrophy Dissipation at the Collapse of Three Point Vortices on Euler--Poincaré Models

DOI10.1137/17M1127855zbMath1393.76018arXiv1705.00146MaRDI QIDQ4577828

Takeshi Gotoda, Takashi Sakajo

Publication date: 3 August 2018

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.00146

zbMATH Keywords

turbulenceanomalous enstrophy dissipationvortex collapsepoint vorticeEuler-Poincaré model

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Three-body problems (70F07) Dynamical systems approach to turbulence (76F20) Euler equations (35Q31)

Related Items

Energy conservation in the limit of filtered solutions for the 2D Euler equations ⋮ Burst of point vortices and non-uniqueness of 2D Euler equations ⋮ Self-similar collapse of three geophysical vortices ⋮ Self-similar motions and related relative equilibria in the \(N\)-point vortex system ⋮ Hölder regularity for collapses of point-vortices ⋮ Singular solutions of nonlinear hydrodynamic equations arising in turbulence theory ⋮ Zero-noise dynamics after collapse for three point vortices ⋮ Finite-time collapse of three point vortices in the plane ⋮ Convergence of filtered weak solutions to the 2D Euler equations with measure-valued vorticity

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