Séminaire d'analyse

Uniqueness for 2D Euler with sources and sinks
Florent Noisette (Université de Bordeaux)
Thursday 08 February 2024 13:30 -  Tours -  E2290

Résumé :

A simple way to tackle fluid mecanic problems is to 
introduce and study conserved quantities. The most influencial are the 
mass, the energy, the momentum and so on.  However, this falls short 
when the system at bay is open -meaning that there is fluid entering 
and exiting the domain- because the incoming fluid brings mass, energy 
and so on with himself. In that situation, one has to think carefully 
on how to treat those -now not conserved- quantities. 
In this talk, I will present the case of incompressible 2D Euler, and 
how we can modify the relative energy to fall on our feet once again 
in the proof of uniqueness. 
 

Liens :

• Indico