An overview on congestion phenomena in fluid equations
Charlotte Perrin1
1 Aix Marseille Univ, CNRS Centrale Marseille, I2M Marseille France
Journées équations aux dérivées partielles (2018), Talk no. 6, 34 p.

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.

Published online:
DOI: 10.5802/jedp.666
Keywords: Navier–Stokes equations, Euler equations, maximal packing constraint, phase transitions
Charlotte Perrin 1

1 Aix Marseille Univ, CNRS Centrale Marseille, I2M Marseille France 
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Charlotte Perrin. An overview on congestion phenomena in fluid equations. Journées équations aux dérivées partielles (2018), Talk no. 6, 34 p. doi : 10.5802/jedp.666. https://proceedings.centre-mersenne.org/articles/10.5802/jedp.666/

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