Localization of analytic regularity criteria on the vorticity and balance between the vorticity magnitude and coherence of the vorticity direction in the 3D NSE
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Publication:1958531
DOI10.1007/s00220-010-1000-4zbMath1433.35008OpenAlexW2040749300MaRDI QIDQ1958531
Rafaela Guberović, Zoran Grujić
Publication date: 4 October 2010
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-010-1000-4
Related Items (14)
Direction of vorticity and smoothness of viscous fluid flows subjected to boundary constraints ⋮ Coherent vortex structures and 3D enstrophy cascade ⋮ Local near-Beltrami structure and depletion of the nonlinearity in the 3D Navier-Stokes flows ⋮ Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient ⋮ Direction of vorticity and regularity up to the boundary: on the Lipschitz-continuous case ⋮ An extension and simpler proof of Berselli-Córdoba's geometric regularity condition for the Navier-Stokes system ⋮ An algebraic reduction of the 'scaling gap' in the Navier-Stokes regularity problem ⋮ 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 ⋮ Balance of the vorticity direction and the vorticity magnitude in 3D fractional Navier-Stokes equations ⋮ Effect of vorticity coherence on energy-enstrophy bounds for the 3D Navier-Stokes equations ⋮ On the geometric regularity conditions for the 3D Navier-Stokes equations ⋮ Vortex stretching and criticality for the three-dimensional Navier-Stokes equations ⋮ A regularity criterion for 3D shear thinning fluids in terms of the direction of vorticity
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