Existence results for Hughes' model for pedestrian flows
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Publication:2252079
DOI10.1016/j.jmaa.2014.05.072zbMath1310.35163OpenAlexW1986654283MaRDI QIDQ2252079
Paola Goatin, Massimiliano Daniele Rosini, Debora Amadori
Publication date: 16 July 2014
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.05.072
Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20)
Related Items (13)
Biological and industrial models motivating nonlocal conservation laws: a review of analytic and numerical results ⋮ Towards a mathematical theory of behavioral human crowds ⋮ Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions ⋮ Navigation system-based routing strategies in traffic flows on networks ⋮ Optimal control of Hughes' model for pedestrian flow via local attraction ⋮ On existence, stability and many-particle approximation of solutions of 1D Hughes' model with linear costs ⋮ Human behavioral crowds review, critical analysis and research perspectives ⋮ A semi-Lagrangian scheme for a modified version of the Hughes' model for Pedestrian flow ⋮ Numerical investigation of agent-controlled pedestrian dynamics using a structure-preserving finite volume scheme ⋮ Memory-driven movement model for periodic migrations ⋮ A discrete Hughes model for pedestrian flow on graphs ⋮ An improved version of the Hughes model for pedestrian flow ⋮ Deterministic particle approximation of the Hughes model in one space dimension
Cites Work
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- A theory of \(L ^{1}\)-dissipative solvers for scalar conservation laws with discontinuous flux
- Conservation laws with discontinuous flux functions and boundary condition
- The one-dimensional Hughes model for pedestrian flow: Riemann-type solutions
- Conservation laws with discontinuous flux
- Polygonal approximations of solutions of the initial value problem for a conservation law
- Well posedness of balance laws with boundary
- The Wave-Front Tracking Algorithm for Hughes' Model of Pedestrian Motion
- Existence and nonexistence of TV bounds for scalar conservation laws with discontinuous flux
- First order quasilinear equations with boundary conditions
- ON EXISTENCE AND UNIQUENESS OF ENTROPY SOLUTIONS TO THE CAUCHY PROBLEM FOR A CONSERVATION LAW WITH DISCONTINUOUS FLUX
- Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies
- EXISTENCE OF STRONG TRACES FOR QUASI-SOLUTIONS OF MULTIDIMENSIONAL CONSERVATION LAWS
- Strong traces for solutions of multidimensional scalar conservation laws
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