Regularity criteria of weak solutions in terms of the pressure in Lorentz spaces to the Navier-Stokes equations

DOI10.1007/s00021-012-0098-xzbMath1256.35066OpenAlexW2068399059MaRDI QIDQ1928293

Tomoyuki Suzuki

Publication date: 3 January 2013

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-012-0098-x

zbMATH Keywords

Navier-Stokes equationsLorentz spacesregularity criteria

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items

On mixed pressure-velocity regularity criteria to the Navier-Stokes equations in Lorentz spaces, On mixed pressure-velocity regularity criteria to the Navier-Stokes equations in Lorentz spaces. II: The non-slip boundary value problem, On regularity criteria via pressure for the 3D MHD equations in a half space, A remark on the regularity of weak solutions to the Navier-Stokes equations in terms of the pressure in Lorentz spaces, Estimates of the singular set for the Navier-Stokes equations with supercritical assumptions on the pressure, A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient, On the deformation tensor regularity for the Navier-Stokes equations in Lorentz spaces, New regularity criteria based on pressure or gradient of velocity in Lorentz spaces for the 3D Navier-Stokes equations

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