A remark on the blow-up criterion of strong solutions to the Navier-Stokes equations

DOI10.1016/j.amc.2011.03.156zbMath1387.35453OpenAlexW2092484812MaRDI QIDQ548040

Saddek Gala

Publication date: 27 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.156

zbMATH Keywords

Navier-Stokes equationsblow-up phenomena\(B\_\{\infty, \infty\}^{-1} \)-norm

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Blow-up in context of PDEs (35B44)

Related Items (9)

Navier-Stokes equations with vorticity in Besov spaces of negative regular indices ⋮ A note on the regularity criterion for 3D MHD equations in \(\dot{B}_{\infty, \infty}^{- 1}\) space ⋮ Regularity criterion for 3D Navier-Stokes equations in Besov spaces ⋮ Regularity criterion for weak solutions to the Navier-Stokes involving one velocity and one vorticity components ⋮ A remark on the regularity criterion for the 3D Navier-Stokes equations in terms of two vorticity components ⋮ Some regularity criteria for the 3D Boussinesq equations in the class \(L^2(0,T;\dot B^{-1}_{\infty,\infty})\) ⋮ Regularity criterion for weak solutions to the 3D Navier-Stokes equations via two vorticity components in \(B M O^{- 1}\) ⋮ Remark on an improved regularity criterion for the 3D MHD equations ⋮ ON THE IMPROVED REGULARITY CRITERION OF THE SOLUTIONS TO THE NAVIER-STOKES EQUATIONS

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