Conditional regularity and thin domain results for solutions of the Navier-Stokes equations
Speaker: Igor Kukavica, University of Southern California
Abstract: We consider sufficient conditions for regularity of Leray-Hopf solutions of the Navier-Stokes equation. By a result of Neustupa and Panel, a Leray-Hopf weak solution is regular provided a single component of the velocity is bounded. In this talk we will survey existing and present new results on one component and one direction regularity. We will also show global regularity for a class of solutions of the Navier-Stokes equation in thin domains. This is a joint work with M. Ziane.
Room Reservation Information
Room Number: 106 McAllister
Time: 3:35pm - 4:25pm