Anne-Laure Dalibard: Stability of propagation fronts in congestion models

The purpose of this talk is to present two 1d congestion models: a soft congestion model with a singular pressure, and a hard congestion model in which the dynamic is different in the congested and non-congested zone (incompressible vs. compressible dynamic). The hard congested model is the limit of the soft one as the parameter within the singular presure vanishes.
For each model, we prove the existence of traveling waves, and we study their stability. This is a joint work with Charlotte Perrin.

CIRM HYBRID EVENT

Recorded during the meeting "Vorticity, Rotation and Symmetry (V) – Global Results and Nonlocal Phenomena" the October 27, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent