4/20/2006

Pierre Germain
Weak-strong uniqueness for the Navier-Stokes equation

Convergence of trigonometric series

There exist classes of strong solutions of the Navier-Stokes equation such that: if a weak solution belongs to them, it is unique. We say then that weak-strong uniqueness holds. Serrin criterion is the first example of such a result. We will discuss new results which generalize Serrin criterion.