A remark on the regularity of weak solutions to the Navier-Stokes equations in terms of the pressure in Lorentz spaces

DOI10.1016/j.na.2012.02.006zbMath1239.35115OpenAlexW2016328741MaRDI QIDQ414504

Tomoyuki Suzuki

Publication date: 11 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.02.006

zbMATH Keywords

Navier-Stokes equationsregularity criterionLorentz spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30)

Related Items (7)

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 ⋮ Estimates of the singular set for the Navier-Stokes equations with supercritical assumptions on the pressure ⋮ Note on Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes equations ⋮ Some regularity criteria of a weak solution to the 3D Navier-Stokes equations in a domain ⋮ New regularity criteria based on pressure or gradient of velocity in Lorentz spaces for the 3D Navier-Stokes equations

Cites Work

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• Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness

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