| Abstract: |
| 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. |
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