Congestion in a Macroscopic Model of Self-driven Particles Modeling Gregariousness

@article{Degond2009CongestionIA,
  title={Congestion in a Macroscopic Model of Self-driven Particles Modeling Gregariousness},
  author={Pierre Degond and Laurent Navoret and Richard Bon and David Sanchez},
  journal={Journal of Statistical Physics},
  year={2009},
  volume={138},
  pages={85-125}
}
We analyze a macroscopic model with a maximal density constraint which describes short range repulsion in biological systems. This system aims at modeling finite-size particles which cannot overlap and repel each other when they are too close. The parts of the fluid where the maximal density is reached behave like incompressible fluids while lower density regions are compressible. This paper investigates the transition between the compressible and incompressible regions. To capture this… 

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