Courses
About the regularity in 3D incompressible Navier-Stokes equations: some classical and some recent results 1/4
Speaker: Jean-Yves Chemin (Université Claude-Bernard Lyon)Date: Tuesday, 10 March 2026 - 11:30-13:30Place: Aula Naranja, ICMAT
Abstract:
The purpose of this series of lectures is to give an overview (neccessarily partial) about the regularity problem for the homogeneous incompressible Navier-Stokes system in the whole space~$\R^3$. We try to make the proofs as self contained as possible for advances students. The required background is classical functional analysis including Young inequalities, Fourier transform and Sobolev inequalities.
First lecture (10th of March)
In the first lecture, we present the incompressible Navier-Stokes system and study of local wellposedness for initial data in Sobolev and Lebesgue spaces. We establish a global stability result for global regular solutions which uses the energy estimate in a crucial way. This lecture will be elementary.
