A regularity criterion for the 3D NSE in a local version of the space of functions of bounded mean oscillations

DOI10.1016/j.anihpc.2009.11.009zbMath1187.35153OpenAlexW2063364248MaRDI QIDQ963055

Zoran Grujić, Rafaela Guberović

Publication date: 8 April 2010

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2009.11.009

zbMATH Keywords

Navier-Stokes equationsBMOBeale-Kato-Majda regularity criterion

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, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (6)

A regularity criterion for the 3D MHD equations in a local BMO space ⋮ Coherent vortex structures and 3D enstrophy cascade ⋮ Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient ⋮ Localization of analytic regularity criteria on the vorticity and balance between the vorticity magnitude and coherence of the vorticity direction in the 3D NSE ⋮ Brezis-Gallouet-Wainger type inequalities and blow-up criteria for Navier-Stokes equations in unbounded domains ⋮ Blow-up scenarios for the 3D Navier-Stokes equations exhibiting sub-criticality with respect to the scaling of one-dimensional local sparseness

Cites Work

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• \(H^p\) spaces of several variables
• The dual of Hardy spaces on a bounded domain in ℝ n
• Partial regularity of suitable weak solutions of the navier-stokes equations
• NAVIER-STOKES EQUATIONS IN THE BESOV SPACE NEAR L∞ AND BMO

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