Publication Date:
2021
Short description:
Wavefronts in Traffic Flows and Crowds Dynamics / Corli, A., Malaguti, L. (SPRINGER INDAM SERIES). - In: Anomalies in Partial Differential Equations / [a cura di] M. Cicognani, D. Del Santo, A. Parmeggiani, M. Reissig, (Eds.). - [s.l] : Springer INdAM Series, 2021. - ISBN 978-3-030-61345-7. - pp. 167-189 [10.1007/978-3-030-61346-4_8]
abstract:
In this paper we give an overview of some recent results concerning partial differential equations modeling collective movements, namely, vehicular traffic flows and crowds dynamics. The focus is on traveling-wave solutions to degenerate parabolic equations in one space dimension, even if we briefly discuss models based on different equations. The case of networks is also taken into consideration. The parabolic degeneration opens the possibilities of several different behaviors of the traveling-wave solutions, which are investigated in details.
Iris type:
Capitolo/Saggio
Keywords:
Crowds dynamics, Degenerate diffusion-convection reaction equations, Networks, Semi-wavefronts, Sharp profiles, Traveling waves
List of contributors:
Corli, Andrea; Malaguti, Luisa
Book title:
Anomalies in Partial Differential Equations
Published in: