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Center for Scientific Computation and Mathematical Modeling

Research Activities > Programs > Incompressible Flows 2006> Edriss Titi

Analytical and Computational Challenges of Incompressible Flows at High Reynolds Number

CSIC Building (#406), Seminar Room 4122.
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Global Regularity for Three-dimensional Navier-Stokes Equations and Other Relevant Geophysical Models


                      Edriss Titi

                                     Department of Mathematics, University of California, Irvine

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.

This is a joint work with Chongshen Cao.