New Asymptotic Profiles of Nonstationnary Solutions of the Navier-Stokes System

Lorenzo Brandolese, Francois Vigneron

We show that solutions $u(x,t)$ of the non-stationnary incompressible Navier--Stokes system in ${\mathbb{R}}^d$ ($d\ge 2$) starting from mild decaying data $a$ behave as $|x|\to \infty$ as a…