Improvement of some anisotropic regularity criteria for the Navier-Stokes equations

DOI10.3934/dcdss.2013.6.1401zbMath1260.35127OpenAlexW2335178524MaRDI QIDQ1942848

Patrick Penel, Milan Pokorný

Publication date: 14 March 2013

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2013.6.1401

zbMATH Keywords

Navier-Stokes equationsregularity of solutionregularity criteria

Mathematics Subject Classification ID

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

Related Items (9)

Evolution problems of Navier-Stokes type with anisotropic diffusion ⋮ Localized anisotropic regularity conditions for the Navier-Stokes equations ⋮ A generalized regularity criterion for 3D Navier-Stokes equations in terms of one velocity component ⋮ Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity ⋮ A note on the regularity criterion for the 3D Navier-Stokes equations via the gradient of one velocity component ⋮ On the local well-posedness and a Prodi-Serrin-type regularity criterion of the three-dimensional MHD-Boussinesq system without thermal diffusion ⋮ A survey of geometric constraints on the blowup of solutions of the Navier-Stokes equation ⋮ Generalized Navier–Stokes equations with nonlinear anisotropic viscosity ⋮ A remark on the regularity criterion for the 3D Navier-Stokes equations involving the gradient of one velocity component

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