Space-time localization of a class of geometric criteria for preventing blow-up in the 3D NSE
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Publication:852393
DOI10.1007/s00220-005-1437-zzbMath1106.35048OpenAlexW2025295686MaRDI QIDQ852393
Publication date: 29 November 2006
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-005-1437-z
Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (16)
A Review of Results on Axially Symmetric Navier-Stokes Equations, with Addendum by X. Pan and Q. Zhang ⋮ Direction of vorticity and smoothness of viscous fluid flows subjected to boundary constraints ⋮ Coherent vortex structures and 3D enstrophy cascade ⋮ Regularity criteria for the Navier–Stokes equations in terms of the velocity direction and the flow of energy ⋮ 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 ⋮ Regularity of Navier-Stokes flows with bounds for the pressure ⋮ A regularity criterion for the 3D NSE in a local version of the space of functions of bounded mean oscillations ⋮ On vorticity directions near singularities for the Navier-Stokes flows with infinite energy ⋮ Scale-invariant estimates and vorticity alignment for Navier-Stokes in the half-space with no-slip boundary conditions ⋮ Unnamed Item ⋮ Localization and geometric depletion of vortex-stretching in the 3D NSE ⋮ 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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