Geodesic
An overview on congestion phenomena in fluid equations
Perrin, Charlotte1
1 Aix Marseille Univ, CNRS Centrale Marseille, I2M Marseille France
Journées équations aux dérivées partielles (2018), Exposé no. 6, 34 p.

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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.

Publié le :
DOI : 10.5802/jedp.666
Keywords: Navier–Stokes equations, Euler equations, maximal packing constraint, phase transitions

Perrin, Charlotte 1

1 Aix Marseille Univ, CNRS Centrale Marseille, I2M Marseille France 
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Perrin, Charlotte. An overview on congestion phenomena in fluid equations. Journées équations aux dérivées partielles (2018), Exposé no. 6, 34 p. doi : 10.5802/jedp.666. http://geodesic.mathdoc.fr/articles/10.5802/jedp.666/

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