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Journal Articles Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society Year : 2016

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).
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Dates and versions

hal-01402613 , version 1 (24-11-2016)

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