An overview on congestion phenomena in fluid equations
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- Navier-Stokes equations
- Euler equations
- Phase transitions
- Maximal packing constraint
We review some recent analysis results and open perspectives around congestion phenomena in fluid equations. The PDE systems under study are based on Navier-Stokes equations in which congestion is encoded in a maximal density constraint. The paper is organized around three main topics: multi-scale issues, regularity issues and finally non-locality issues.
Institut des Sciences du Mouvement Etienne-Jules Marey | Aix Marseille Université - Tous droits réservés - Mentions légales