Time: 14:00-15:30, Tuesday, November 12 2024

Venue: E4-233, Yungu Campus

Speaker: Daoguo Zhou, Hangzhou Normal University

Title: Some regularity results for the Navier-Stokes equations

Abstract: First, we establish some local regularity criteria for suitable weak solutions to the 3D Naiver-Stokes equations, which does not involve the pressure. The proofs are based on the local pressure projection due to Wolf, Caccioppoli inequalities without pressure, and certain iteration schemes. Our results indicate that the pressure does not play a role in small energy regularity for the Navier-Stokes equations. Then, we discuss the regularity of Naiver-Stokes equations in the largest critical space $B^{-1}_{\infty,\infty}$.