Courses
About the regularity in 3D incompressible Navier-Stokes equations: some classical and some recent results 3/4
Speaker: Jean-Yves Chemin (Université Claude-Bernard Lyon)Date: Thursday, 12 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.
Third lecture (12th of March)
All of the results in the second lecture are true for any system of Navier-Stokes type but does not really use the particular structure of the Navier-Stokes system. In the third lecture, we shall present some results concerning regularity, life span or necessary condition for blow up which all uses the particular structure of the incompressible Navier-Stokes system.
