- Series
- PDE Seminar
- Time
- Tuesday, October 23, 2012 - 3:05pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Alexander Kiselev – Department of Mathematics, University of Wisconsin, Madison
- Organizer
- Zhiwu Lin
Active scalars appear in many problems of fluid dynamics. The most
common examples of active scalar equations are 2D Euler, Burgers, and
2D surface quasi-geostrophic (SQG) equations. Many questions about
regularity and properties of solutions of these equations remain open.
I will discuss the recently introduced
idea of nonlocal maximum principle, which helped prove global
regularity of
solutions to the critical SQG equation. I will describe some further
recent developments on regularity and blowup of solutions to active
scalar equations.