Remark on Wolf's condition for boundary regularity of Navier-Stokes equations

TL;DR

This paper proves Wolf's boundary regularity condition for Navier-Stokes solutions with non-slip boundary conditions, extending the understanding of boundary regularity in fluid dynamics.

Contribution

It establishes boundary regularity under Wolf's condition for Navier-Stokes equations with non-slip boundary conditions, a novel extension of previous interior regularity results.

Findings

Boundary regularity proven under Wolf's condition

Extension of regularity results to boundary cases

Applicable to solutions with non-slip boundary conditions

Abstract

We prove Wolf's regularity condition up to the boundary for solutions to the Navier-Stokes equations satisfying non-slip boundary condition.