Regularity criterion for 3D Navier-Stokes equations in Besov spaces

DOI10.3934/cpaa.2014.13.585zbMath1284.35309arXiv1210.3857OpenAlexW2962741687MaRDI QIDQ380153

Daoyuan Fang, Chenyin Qian

Publication date: 13 November 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.3857

zbMATH Keywords

regularity criterionBesov spacesLeray-Hopf weak solution3D Navier-Stokes equationsanisotropic regularity

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items (11)

Blowup criterion via only the middle eigenvalue of the strain tensor in anisotropic Lebesgue spaces to the 3D double-diffusive convection equations ⋮ On the Stokes system in cylindrical domains ⋮ Remark on regularity criterion via pressure in anisotropic Lebesgue spaces to the 3d Navier-Stokes equations ⋮ Remarks on the regularity criterion to the Navier-Stokes equations via the gradient of one velocity component ⋮ On the regularity criterion for the Navier–Stokes equations in terms of one directional derivative ⋮ Navier-Stokes regularity criteria in Vishik spaces ⋮ Blowup criterion of strong solutions to the three-dimensional double-diffusive convection system ⋮ On the regularity criterion of weak solutions for the 3D MHD equations ⋮ A regularity criterion to the 3D Boussinesq equations ⋮ Blow-up criteria of smooth solutions to the three-dimensional micropolar fluid equations in Besov space ⋮ Regularity criteria via one directional derivative of the velocity in anisotropic Lebesgue spaces to the 3D Navier-Stokes equations

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