Corpus ID: 235829356

Active Crowds

  title={Active Crowds},
  author={Maria Bruna and Martin Burger and Jan-Frederik Pietschmann and Marie-Therese Wolfram},
This chapter focuses on the mathematical modelling of active particles (or agents) in crowded environments. We discuss several microscopic models found in literature and the derivation of the respective macroscopic partial differential equations for the particle density. The macroscopic models share common features, such as cross diffusion or degenerate mobilities. We then take the diversity of macroscopic models to a uniform structure and work out potential similarities and differences… Expand

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