Departmental Colloquium
Alexander Kiselev
University of Wisconsin
Nonlocal maiximum principles for active scalars
Abstract: Active scalars appear in many problems of fluid dynamics. The most common examples of active scalar equations
include 2D Euler equation describing two-dimensional flow of ideal fluid, surface quasi-geostrophic equation
which appears in atmospheric science, and Burgers equation which is perhaps the simplest active scalar.
Many questions about regularity and properties of solutions of these equations remain open. I will talk about
the recently introduced idea of nonlocal maximum principle and progress it led to. I will also discuss some
questions that remain open, and how these questions relate to other problems of interest in mathematical
fluid mechanics.
Friday March 4, 2011 at 3:00 PM in SEO 636