Formation and interaction of intense vortex sheets in 3-dimensional, incompressible, hydrodynamics

DOI10.1007/BF00987569zbMath0823.76018OpenAlexW2089515212MaRDI QIDQ1892018

Alain Pumir

Publication date: 6 June 1995

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00987569

zbMATH Keywords

singularitiesvortex dynamicsturbulent flowsvortex tubesaxisymmetric Euler flows

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Vortex flows for incompressible inviscid fluids (76B47)

Cites Work

• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• On the interface dynamics for convection in porous media
• Collapsing solutions to the 3-D Euler equations
• The dynamics of a columnar vortex in an imposed strain
• Numerical study of small-scale intermittency in three-dimensional turbulence
• Development of singular solutions to the axisymmetric Euler equations
• Numerical evidence of smooth self-similar dynamics and possibility of subsequent collapse for three-dimensional ideal flows
• Evidence for a singularity of the three-dimensional, incompressible Euler equations
• The structure of intense vorticity in isotropic turbulence
• Development of enstrophy and spectra in numerical turbulence
• Multi‐valued solutions and branch point singularities for nonlinear hyperbolic or elliptic systems
• Small-scale structures in Boussinesq convection
• The spatial structure and statistical properties of homogeneous turbulence