Oberseminar Numerische Mathematik / Scientific Computing
Edriss S. Titi
Weizmann Institute, Rehovot, Israel and University of California
Global Regularity for Three-dimensional Navier-Stokes Equations and Other Relevant Geophysical Models
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.
| Datum: | 03.12.07 | Zeit: | 16:15 Uhr | Ort: | FU Berlin, Institut für Mathematik, Arnimallee 6, 14195 Berlin. | Raum: | 032 im Erdgeschoss |