PIMS/ AMI Distinguished Colloquium: Dr. Edriss S. Titi

In this talk I will present the most recent advances concerning the questions of global regularity of solutions to the three-dimensional Navier-Stokes and Euler equations of incompressible fluids. Furthermore, and if time allows, I will also present recent global regularity (and finite time blow-up) results concerning certain three-dimensional geophysical flows, including the three-dimensional viscous (non-viscous) "primitive equations" of oceanic and atmospheric dynamics.

Biography:

Dr. Edriss S. Titi is the holder of the Arthur Owen Professorship of Mathematics in Texas A&M University, a Professor of Computer Science and Applied Mathematics at the Weizmann Institute of Science in Israel, and Professor Emeritus in the University of California, Irvine.

Dr. Titi is a Fellow of the Institute of Physics, UK, a Fellow of the Society for Industrial and Applied Mathematics (SIAM), and a Fellow of the Inaugural Class of American Mathematical Society (AMS). He was the Orson Anderson and the Stanislaw M. Ulam Distinguished Visiting Scholar in the Los Alamos National Laboratory. He received the Humboldt Research Award for Senior U.S. Scientists. He also received the SIAM Prize for Best Paper in Partial Differential Equations. In 2013 he received the Science without Boundaries Scholarship, by the CNPq, Brazil.

The research of Dr. Titi in applied and computational mathematics lies at the interface between rigorous applied analysis and physical applications. Most of his work has been focused on the development of analytical and computational techniques for investigating nonlinear phenomena. Specifically, in studying the Euler and the Navier-Stokes equations of incompressible fluids, and other related nonlinear partial differential equations. Such equations arise as models in a wide range of applications in nonlinear science and engineering. The applications include, but are not limited to, fluid mechanics, geophysics, turbulence, chemical reactions, nonlinear fiber optics, and control theory.