Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks-Reference-Cited by-同舟云学术

Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks

Published:2016-07-14 Issue:5 Volume:50 Page:1269-1287
ISSN:0764-583X
Container-title:ESAIM: Mathematical Modelling and Numerical Analysis
language:
Short-container-title:ESAIM: M2AN

Author:

Andreianov Boris,Donadello Carlotta,Razafison Ulrich,Rosini Massimiliano D.

Publisher

EDP Sciences

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis,Analysis,Computational Mathematics

Link

http://www.esaim-m2an.org/10.1051/m2an/2015078/pdf

Reference38 articles.

1. Andreianov B., New approches to describing admissibility of solutions of scalar conservation laws with discontinuous flux.ESAIM Proc. Surv.50(2015) 40–65.

2. Andreianov B. and Cancès C., On interface transmission conditions for conservation laws with discontinuous flux of general shape.J. Hyperbolic Differ. Equ.12(2015) 343–384.

3. Andreianov B., Goatin P. and Seguin N., Finite volume schemes for locally constrained conservation laws.Numer. Math.115(2010) 609–645.

4. Andreianov B., Karlsen K.H. and Risebro N.H., A theory ofL1-dissipative solvers for scalar conservation laws with discontinuous flux.Arch. Ration. Mech. Anal.201(2011) 27–86.

5. Andreianov B., Donadello C. and Rosini M.D., Crowd dynamics and conservation laws with nonlocal constraints and capacity drop.Math. Models Methods Appl. Sci.24(2014) 2685–2722.

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