Skip to Main content Skip to Navigation
Journal articles

Crowd Dynamics through Non-Local Conservation Laws

Abstract : We present a Lax–Friedrichs type scheme to compute the solutions of a class of non-local and non-linear systems of conservation laws in several space dimensions. The convergence of the approximate solutions is proved by providing suitable $L 1 , L ∞$ and BV uniform bounds. To illustrate the performances of the scheme, we consider an application to crowd dynamics. Numerical integrations show the formation of lanes in groups moving in opposite directions. This is joint work with R. M. Colombo (INDAM Unit, University of Brescia).
Document type :
Journal articles
Complete list of metadata

Cited literature [14 references]  Display  Hide  Download
Contributor : Paola Goatin <>
Submitted on : Thursday, November 24, 2016 - 9:54:28 PM
Last modification on : Thursday, May 20, 2021 - 9:12:01 AM
Long-term archiving on: : Tuesday, March 21, 2017 - 12:28:51 PM


Files produced by the author(s)



Aekta Aggarwal, Paola Goatin. Crowd Dynamics through Non-Local Conservation Laws. Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society, Springer Verlag, 2016, 47, pp.37 - 50. ⟨10.1007/s00574-016-0120-7⟩. ⟨hal-01402613⟩



Record views


Files downloads