back Back to all Seminars

AMCS Seminar | Traffic congestion modelled by the compressible Navier-Stokes equations

Start Date: April 13, 2016
End Date: April 13, 2016

By Professor Ewelina Zatorska (
University of Warsaw, Poland )

We approximate a two–phase model used to describe traffic congestions by the compressible Navier-Stokes equations with a singular pressure term. The weak solutions of the latter approximate weak/measure-valued solutions to the compressible-incompressible two phase system: compressible for the density smaller than some barrier value and incompressible for the barrier value of the density. I will present a result  in the multi-dimensional case with heterogeneous barrier and a stronger results for the one-dimensional system. The results are based on joint papers with D. Bresch and  with C. Perrin.

Biography: Ewelina Zatorska carried out her PhD research at the University of Warsaw and at Charles University in Prague. After completing PhD she was a PostDoc at CMAP Ecole Polytechnique and at Polish Academy of Science. Currently she is an Associate Professor at the University of Warsaw and a Chapman Fellow at Imperial College London. Her research field is analysis of Partial Differential Equations arising in Mathematical Fluid Dynamics. She studies existence, regularity and asymptotic behaviour of solutions to systems describing the flow of compressible and incompressible (multicomponent) fluids and application of such systems in the social sciences.

More Information:

For more info contact: Professor Athanasios Tzavaras; email:

Date: Wednesday 13th April 2016
Time: 15:00 - 16:00
Location: Building 1, Level 3 Room 3422
Refreshmentswill be available at 14:45