Séminaire de mathématiques ESSTHS 20/05/2021

0 Comments 14:30

Date/heure :
Date(s) : mai 20, 2021
Heure début : 2:30 pm - 5:00 pm


Description et détails :

Pr. Nader MASMOUDI

    • Membre de : American Academy of Arts and Sciences
    • en 2017, prix Fermat , conjointement  avec l’Allemand Simon Brendle

comité d’organisation :

  • Imed LAMIRI
  • Ines KAMOUN

Ecole supérieure des sciences de de la technologie – Hammam Sousse (ESSTHS)

Un commentaire sur “Séminaire de mathématiques ESSTHS 20/05/2021”

  1. Nader Masmoudi – 1/4 Inviscid Limit and Prandtl System : https://youtu.be/tLg3HwVDlOo

    One of the main open problems in the mathematical analysis of fluid flows is the understanding of the inviscid limit in the presence of boundaries. In the case of a fixed bounded domain, it is an open problem to know whether solutions to the Navier-Stokes system with no slip boundary condition (zero Dirichlet boundary condition) do converge to a solution to the Euler system when the viscosity goes to zero. The main problem here comes from the fact that we cannot impose a no slip boundary condition for the Euler system. To recover a zero Dirichlet condition, Prandtl proposed to introduce a boundary layer (a small neighborhood of the boundary) in which viscous effects are still present. It turns out that the system that governs the flow in this small neighborhood, namely the Prandtl system has many mathematical difficulties. The goal of this course is to discuss some of the recent development in the inviscid limit as well as the study of the Prandtl system. We will also discuss the singularity formation for both the stationary and non stationary Prandtl system.

    Licence de paternité : Creative Commons (réutilisation autorisée)

Laisser un commentaire

Votre adresse e-mail ne sera pas publiée. Les champs obligatoires sont indiqués avec *