题  目：On propagation of congestion in fluids

报告人： Ewelina Zatorska, University College London, U.K.

摘  要: 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 a couple of numerical results showing that our macroscopic system captures some features characteristic for microscopic models of collective behavior.This is a talk based on several papers in collaboration with: D. Bresch, C. Perrin, P. Degond, P. Minkowski, and L. Navoret.

时 间：2018年7月18日  16:00-17:00 

地 点：蒙民伟楼1105

邀请人: 孙永忠 老师