Speaker
Dr
Julien Guillod
(Université Paris-Diderot)
Description
We will discuss the initial value problem given by the incompressible Navier–Stokes equations in $\mathbb{R}^3$. All known well-posedness results for this problem are in the perturbative regime and in this talk we will show numerically that the problem is ill-posed outside the perturbation regime. More precisely, we numerically construct two different solutions having the same initial datum in borderline spaces.
Authors
Dr
Julien Guillod
(Université Paris-Diderot)
Prof.
Vladimír Šverák
(University of Minnesota)
