Enstrophy Cascade in Physical Scales for the Three-Dimensional Navier--Stokes Equations

DOI10.1137/140997154zbMath1339.35215arXiv1502.01258OpenAlexW2231196829MaRDI QIDQ3462481

Keith Leitmeyer

Publication date: 15 January 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.01258

zbMATH Keywords

Navier-Stokes equationsturbulenceenstrophy cascade

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Fundamentals of turbulence (76F02)

Cites Work

• Some results on the Navier-Stokes equations in connection with the statistical theory of stationary turbulence.
• Energy cascades and flux locality in physical scales of the 3D Navier-Stokes equations
• Localization and geometric depletion of vortex-stretching in the 3D NSE
• Statistical estimates for the Navier-Stokes equations and the Kraichnan theory of 2-D fully developed turbulence
• Coherent vortex structures and 3D enstrophy cascade
• Navier-Stokes equations and area of interfaces
• Locality of turbulent cascades
• Estimates for the energy cascade in three-dimensional turbulent flows
• Vortex stretching and anisotropic diffusion in the 3D Navier-Stokes equations
• Structure and dynamics of homogeneous turbulence: models and simulations
• Energy conservation and Onsager's conjecture for the Euler equations
• The structure of intense vorticity in isotropic turbulence
• Geometric Statistics in Turbulence
• The dynamics of vorticity tubes in homogeneous turbulence
• Localness of energy cascade in hydrodynamic turbulence. I. Smooth coarse graining

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