Speaker: Edriss Titi
Title: Global Regularity for Three-Dimensional Navier-Stokes Equations and Other Relevant Geophysical Models
Affiliation: UC Irvine and Weizemann Institute
Date: Friday, November 3, 2006.
Place and Time: Room 101 - Love Building, 3:35-4:30 pm.
Refreshments: Room 204 - Love Building, 3:00 pm.

Abstract. The basic problem faced in geophysical fluid dynamics is that a mathematical description based only on fundamental physical principles, the so-called the ``Primitive Equations'', is often prohibitively expensive computationally, and hard to study analytically. In this talk I will survey the main obstacles in proving the global regularity for the three-dimensional Navier--Stokes equations and their geophysical counterparts. Even though the Primitive Equations look as if they are more difficult to study analytically than the three-dimensional Navier--Stokes equations I will show in this talk that they have a unique global (in time) regular solution for all initial data.