A Macroscopic Crowd Motion Model of Gradient Flow Type

@inproceedings{Maury2009AMC,
  title={A Macroscopic Crowd Motion Model of Gradient Flow Type},
  author={Bertrand Maury and Aude Roudneff-Chupin},
  year={2009}
}
A simple model to handle the flow of people in emergency evacuation situations is considered: at every point x, the velocity U(x) that individuals at x would like to realize is given. Yet, the incompressibility constraint prevents this velocity field to be realized and the actual velocity is the projection of the desired one onto the set of admissible velocities. Instead of looking at a microscopic setting (where individuals are represented by rigid discs), here the macroscopic approach is… CONTINUE READING
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Gradient flows in metric spaces and in the space of probability measures

  • L. Ambrosio, N. Gigli, G. Savaré
  • Lectures in Mathematics
  • 2005
Highly Influential
17 Excerpts

On the transfer of masses

  • L. V. Kantorovich
  • Dokl. Akad. Nauk. SSSR 37
  • 1942
Highly Influential
7 Excerpts

On a partial differential equation involving the Jacobian determinant

  • B. Dacorogna, J. Moser
  • Annales de l’Institut Henry Poincaré Analyse Non…
  • 1990
Highly Influential
7 Excerpts

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