## 1 événement

• Séminaire d’Analyse Réelle

### Lundi 13 mars 14:00-15:00 - Xin Zhang - Paris Est Marne La Vallée

On the persistence of Hölder regular patches of density for the inhomogeneous Navier-Stokes equations

Résumé : In this talk, we will discuss about some recent result concerning long time persistence of $C^1,\varepsilon$ regular density patch for inhomogeneous Navier-Stokes equation in the framework of critical spaces, which is a joint work with Rapha\"el Danchin. Our proof is based on the fundamental idea from Jean-Yves Chemin in the work of vortex patch problem for 2-D incompressible Euler equations in 1990s. Besides, it is also important to know the recent works in 2016 by Xian Liao and Ping Zhang where the interface of density possesses Sobolev type regularity.

Lieu : IMT, 1R1, Salle 106