On the global regularity of a helical-decimated version of the 3D Navier-Stokes equations

DOI10.1007/s10955-013-0746-4zbMath1275.35057arXiv1303.1215OpenAlexW3098640671MaRDI QIDQ359587

Luca Biferale, Edriss S. Titi

Publication date: 12 August 2013

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1215

zbMATH Keywords

helicity projectionspace-periodic solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (8)

Effects of helicity on dissipation in homogeneous box turbulence ⋮ Local near-Beltrami structure and depletion of the nonlinearity in the 3D Navier-Stokes flows ⋮ Helicity and regularity of weak solutions to 3D Navier-Stokes equations ⋮ Split energy–helicity cascades in three-dimensional homogeneous and isotropic turbulence ⋮ Isotropic polarization of compressible flows ⋮ Helical mode interactions and spectral transfer processes in magnetohydrodynamic turbulence ⋮ How close are shell models to the 3D Navier–Stokes equations? ⋮ Evolution of dissipative fluid flows with imposed helicity conservation

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