Local boundary regularity for the Navier-Stokes equations in nonendpoint borderline Lorentz spaces

Abstract

We prove local regularity up to flat part of boundary, for certain classes of distributional solutions that are $L_{\infty }{L}^{3,q}$ with $q$ finite.

29 pages

References in corpus (3)

• Regularity criteria in weak $L^3$ for 3D incompressible Navier-Stokes equations
• Blow-up of critical norms for the 3-D Navier-Stokes equations
• The Navier-Stokes equations in nonendpoint borderline Lorentz spaces