Weak in Space, Log in Time Improvement of the Lady{ž}enskaja-Prodi-Serrin Criteria

Abstract

In this article we present a Lady{ž}enskaja-Prodi-Serrin Criteria for regularity of solutions for the Navier-Stokes equation in three dimensions which incorporates weak $L^p$ norms in the space variables and log improvement in the time variable.

14 pages, to appear

References in corpus (3)

• Lower bounds on the blow-up rate of the axisymmetric Navier-Stokes equations II
• Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations
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Cited by in corpus (7)

• New regularity criteria based on pressure or gradient of velocity in Lorentz spaces for the 3D Navier-Stokes equations
• A Beale-Kato-Majda criterion with optimal frequency and temporal localization
• Vorticity interior trace estimates and higher derivative estimates via blow-up method
• Regularity criteria of weak solutions to NSE in some bounded domains involving the pressure
• On the possible time singularities for the 3D Navier-Stokes equations
• Mild criticality breaking for the Navier-Stokes equations
• New Regularity Criteria for the Navier-Stokes Equations in Terms of Pressure