Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux
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Publication:1653068
DOI10.1016/j.matpur.2018.01.005zbMath1404.35282OpenAlexW2635659124MaRDI QIDQ1653068
Ulrich Razafison, Carlotta Donadello, Boris P. Andreianov, Massimiliano Daniele Rosini
Publication date: 17 July 2018
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2018.01.005
Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Traffic problems in operations research (90B20)
Related Items (7)
Existence analysis and numerical approximation for a second-order model of traffic with orderliness marker ⋮ Microscopic Selection of Solutions to Scalar Conservation Laws with Discontinuous Flux in the Context of Vehicular Traffic ⋮ A Macroscopic Model to Reproduce Self-organization at Bottlenecks ⋮ Estimation of travel time through a composite ring road by a viscoelastic traffic flow model ⋮ Entropy solutions for a two-phase transition model for vehicular traffic with metastable phase and time depending point constraint on the density flow ⋮ Influence of a slow moving vehicle on traffic: well-posedness and approximation for a mildly nonlocal model ⋮ Representation of capacity drop at a road merge via point constraints in a first order traffic model
Cites Work
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- Solutions of the Aw-Rascle-Zhang system with point constraints
- The Aw-Rascle traffic model with locally constrained flow
- On the time continuity of entropy solutions
- Mixed systems: ODEs-balance laws
- A theory of \(L ^{1}\)-dissipative solvers for scalar conservation laws with discontinuous flux
- Scalar conservation laws with moving constraints arising in traffic flow modeling: an existence result
- A well posed conservation law with a variable unilateral constraint
- A fixed point result with applications in the study of viscoplastic frictionless contact problems
- Finite volume schemes for locally constrained conservation laws
- Existence of nonclassical solutions in a pedestrian flow model
- Global solutions of systems of conservation laws by wave-front tracking
- Global existence of solutions to nonlinear hyperbolic systems of conservation laws
- The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
- General constrained conservation laws. Application to pedestrian flow modeling
- Nonclassical interactions portrait in a macroscopic pedestrian flow model
- A macroscopic traffic model with phase transitions and local point constraints on the flow
- A front tracking method for a strongly coupled PDE-ODE system with moving density constraints in traffic flow
- Riemann problems with non-local point constraints and capacity drop
- Polygonal approximations of solutions of the initial value problem for a conservation law
- A second-order model for vehicular traffics with local point constraints on the flow
- 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
- On the modelling and management of traffic
- The Semigroup Approach to Conservation Laws with Discontinuous Flux
- Crowd dynamics and conservation laws with nonlocal constraints and capacity drop
- General phase transition models for vehicular traffic with point constraints on the flow
- Moving Bottlenecks in Car Traffic Flow: A PDE-ODE Coupled Model
- First order quasilinear equations with boundary conditions
- A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
- T<scp>HE</scp> F<scp>LOW OF</scp> H<scp>UMAN</scp> C<scp>ROWDS</scp>
- Finite Volume Methods for Hyperbolic Problems
- The Cauchy problem for the Aw–Rascle–Zhang traffic model with locally constrained flow
- Error Estimate for Godunov Approximation of Locally Constrained Conservation Laws
- Resurrection of "Second Order" Models of Traffic Flow
- Shock Waves on the Highway
- EXISTENCE OF STRONG TRACES FOR QUASI-SOLUTIONS OF MULTIDIMENSIONAL CONSERVATION LAWS
- Numerical Approximation of a Macroscopic Model of Pedestrian Flows
- Pedestrian flows and non-classical shocks
- On kinematic waves II. A theory of traffic flow on long crowded roads
- Strong traces for solutions of multidimensional scalar conservation laws
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