Jean-Claude Saut : Navier-Stokes meets Poincare-Dulac

Posted by Emily Dumas , part of the Departmental Colloquium.

At

April 15, 2011, 3 p.m.

In

SEO 636

Abstract

The Navier-Stokes equation is both a fundamental equation in Fluid Mechanics and a rich source of challenging mathematical problems. One of them is the global existence of "regular" solutions in the three-dimensional case. We will make a brief review of some outstanding open problems and then focus on some recent results linking the asymptotics of the Navier-Stokes solutions in a particular regime to the normal form theory of Poincaré and Dulac.