Conditional regularity and thin domain results for solutions of the Navier-Stokes equations

Computational and Applied Mathematics Colloquium

Meeting Details

For more information about this meeting, contact Hope Shaffer, Jinchao Xu, Kris Jenssen.

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

Date: 04/11/2008

Time: 3:35pm - 4:25pm