An overview on congestion phenomena in fluid equations

  • Perrin Charlotte

  • Maximal packing constraint
  • Phase transitions
  • Euler equations
  • Navier-Stokes equations

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We review some recent analysis results and open perspectives around congestion phenomena in fluid equations. The PDE systems under study are based on Navier-Stokes equations in which congestion is encoded in a maximal density constraint. The paper is organized around three main topics: multi-scale issues, regularity issues and finally non-locality issues.