Multi-Dimensional Transport Equations

In this chapter we review different types of 2D kinetic models derived to investigate the movement and local/nonlocal interactions of individuals inside one or multiple populations of cells/bacteria/animals/pedestrians

Raluca Eftimie

2019

Scholarcy highlights

  • One-dimensional models are simple enough to be investigated analytically and numerically. They are not very biological realistic since the majority of behaviours observed in nature occur in 2D or 3D
  • In this chapter we review different types of 2D kinetic models derived to investigate the movement and local/nonlocal interactions of individuals inside one or multiple populations of cells/bacteria/animals/pedestrians
  • In addition to reviewing all these different kinetic models, we present in more detail a few analytical approaches used to investigate these models: from the derivation of mean-field models, to hyperbolic and parabolic scaling, and grazing collision limits

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