Two-phase model of crowd propagation

Interactions between Partial Differential Equations & Functional Inequalities

22 September 16:00 - 17:00

Ewelina Zatorska - Imperial College London

I will talk about the fluid equations used to model pedestrian motion and traffic. I will present the compressible-incompressible Navier-Stokes two phase system describing the flow in the free and in the congested regimes, respectively. I will also show how to approximate such system by the compressible Navier-Stokes equations with singular pressure for the fixed barrier densities and also some recent developments for the barrier densities varying in the space and time. This is a talk based on several papers in collaboration with: D. Bresch, C. Perrin, P. Degond, and P. Minkowski.
José A. Carrillo
Imperial College London
Ivan Gentil
Institut Camille Jordan
Helge Holden
NTNU - Norwegian University of Science and Technology
Cédric Villani
Institut Henri Poincaré (IHP)
Boguslaw Zegarlinski
Imperial College London


José A. Carrillo


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