An overview on congestion phenomena in fluid equations

Charlotte Perrin (1)

1 I2M - Institut de Mathématiques de Marseille

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.

Mots clés: Navier-Stokes equations; Euler equations; phase transitions; maximal packing constraint

Domaines: Equations aux dérivées partielles [math.AP]

Charlotte Perrin. An overview on congestion phenomena in fluid equations. Journées Équations aux Dérivées Partielles, 2018, Tome (2018), Exposé 6. ⟨hal-01994880⟩