PSU Mathematics Department - Meeting Details

For more information about this meeting, contact Kris Jenssen, Hope Shaffer, Yuxi Zheng.

Abstract:
Title:	On the Question of Global Regularity for Three-dimensional Navier-Stokes Equations and Relevant Geophysical Models
Seminar:	Computational and Applied Mathematics Colloquium
Speaker:	Edriss Titi , UC Irvine and Weizmann Institute
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. This is a joint work with Chongsheng Cao.