On depletion of the vortex-stretching term in the 3D Navier-Stokes equations

DOI10.1007/s00220-004-1072-0zbMath1091.35061OpenAlexW1972880234MaRDI QIDQ1885641

Zoran Grujić, Anastasia A. Ruzmaikina

Publication date: 11 November 2004

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-004-1072-0

zbMATH Keywords

scalesregularityvorticityblow-up timeenstrophy

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) (k)-(varepsilon) modeling in turbulence (76F60) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (12)

Space-time localization of a class of geometric criteria for preventing blow-up in the 3D NSE ⋮ Direction of vorticity and smoothness of viscous fluid flows subjected to boundary constraints ⋮ Some criteria concerning the vorticity and the problem of global regularity for the 3D Navier-Stokes equations ⋮ On the vorticity direction and the regularity of 3D Navier–Stokes equations ⋮ An extension and simpler proof of Berselli-Córdoba's geometric regularity condition for the Navier-Stokes system ⋮ Localization of analytic regularity criteria on the vorticity and balance between the vorticity magnitude and coherence of the vorticity direction in the 3D NSE ⋮ On a family of results concerning direction of vorticity and regularity for the Navier-Stokes equations ⋮ Navier-Stokes equations: some questions related to the direction of the vorticity ⋮ Geometric constrains for global regularity of 2D quasi-geostrophic flows ⋮ Geometric depletion of vortex stretch in 3d viscous incompressible flow ⋮ Localization and geometric depletion of vortex-stretching in the 3D NSE ⋮ A regularity criterion for 3D shear thinning fluids in terms of the direction of vorticity

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