Transport of congestion in two-phase compressible/incompressible flow
par
Ewelina Zatorska(University College London)
→
Europe/Paris
Fokko Du Cloux (ICJ, Université Claude Bernard Lyon 1)
Fokko Du Cloux
ICJ, Université Claude Bernard Lyon 1
Campus de la Doua, Bâtiment Braconnier,
Villeurbanne
Description
Can the fluid equations be used to model pedestrian motion or traffic?
In this talk, I will present the compressible-incompressible two phase system describing the flow in the free and in the congested regimes.
I will show how to approximate such system by the compressible Navier-Stokes equations with singular pressure for the fixed barrier densities, together with some recent developments for the barrier densities varying in the space and time.
At the end, I will present the numerical results showing that our macroscopic system captures some features characteristic for microscopic models of collective behaviour.
This is a talk based on several papers in collaboration with: D. Bresch, C. Perrin, P. Degond, P. Minkowski, and L. Navoret.