M. B. Porter Lectures, 2007-2008.

Rice University
Department of Mathematics

Yakov Sinai
Princeton University

October 25 - November 1, 2007

Mathematical Fluid Dynamics

During the first lectures I shall discuss various problems related to the existence and uniqueness of solutions of the Navier-Stokes system (NSS). In particular, I shall explain the new method developed by Dong Li and myself which allows to construct singularities in complex-valued solutions of the NSS on R^3. In the second part, I shall discuss some new results related to ergodic theory and number theory.

Thursday, October 25
4:00 - 5:00 PM     Keck 100
For General Audience
Blow Ups in Navier-Stokes Systems and Renormalization Group Method


Friday, October 26
4:00 - 5:00 PM     Herman Brown 227
Existence and Uniqueness Theorems for Navier-Stokes System


Monday, October 29
4:00 - 5:00 PM     Herman Brown 227
Special Features of the Two-Dimensional Navier-Stokes Systems


Wednesday, October 31
4:00 - 5:00 PM     Herman Brown 227
New Limit Theorems in Ergodic Theory


Thursday, November 1
4:00 - 5:00 PM     Herman Brown 227
Littlewood Conjecture

There will be a tea preceding each lecture in the Mathematics Commons Room, Herman Brown 438.

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