Local Regularity in the Navier-Stokes Equations

In this short talk, I will review several results on the local-in-space, short-time regularity of the Navier-Stokes equations with critical initial data. An application is the concentration behavior near potential blow-up points.

Sheng Hao Yang is currently pursuing a PhD in Mathematics at the University of British Columbia, under the supervision of Professor Tai-Peng Tsai.