Microscopic Selection of Solutions to Scalar Conservation Laws with Discontinuous Flux in the Context of Vehicular Traffic
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Publication:5115928
DOI10.1007/978-3-030-46079-2_7zbMath1494.35114OpenAlexW2973234003MaRDI QIDQ5115928
Boris P. Andreianov, Massimiliano Daniele Rosini
Publication date: 21 August 2020
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-46079-2_7
conservation lawsRiemann solverstraffic flowdiscontinuous fluxorder-preservationfirst order follow-the-leader modelfollow-the-leader semigrouppoint constraint on the flux
Hyperbolic conservation laws (35L65) Theoretical approximation in context of PDEs (35A35) Traffic problems in operations research (90B20)
Related Items (5)
Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions ⋮ Existence analysis and numerical approximation for a second-order model of traffic with orderliness marker ⋮ Microscopic derivation of a traffic flow model with a bifurcation ⋮ On existence, stability and many-particle approximation of solutions of 1D Hughes' model with linear costs ⋮ Systems of conservation laws with discontinuous fluxes and applications to traffic
Cites Work
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- Many particle approximation of the Aw-Rascle-Zhang second order model for vehicular traffic
- Phase transition model for traffic at a junction
- The Aw-Rascle traffic model with locally constrained flow
- Initial-boundary value problems for nonlinear systems of conservation laws
- Monotone difference approximations for the simulation of clarifier-thickener units
- The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions
- A theory of \(L ^{1}\)-dissipative solvers for scalar conservation laws with discontinuous flux
- Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks' medium
- Deterministic particle approximation of the Hughes model in one space dimension
- Entropy conditions for scalar conservation laws with discontinuous flux revisited
- Solving the Buckley-Leverett equation with gravity in a heterogeneous porous medium
- Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux
- Deterministic particle approximation of scalar conservation laws
- Priority-based Riemann solver for traffic flow on networks
- On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux
- Rigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit
- A macroscopic traffic model with phase transitions and local point constraints on the flow
- Moving bottlenecks for the Aw-Rascle-Zhang traffic flow model
- Traveling wave profiles for a follow-the-leader model for traffic flow with rough road condition
- Conservation laws with discontinuous flux
- Well posedness of balance laws with boundary
- New approaches to describing admissibility of solutions of scalar conservation laws with discontinuous flux
- 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
- Modelling road traffic accidents using macroscopic second-order models of traffic flow
- The Semigroup Approach to Conservation Laws with Discontinuous Flux
- Crowd dynamics and conservation laws with nonlocal constraints and capacity drop
- On interface transmission conditions for conservation laws with discontinuous flux of general shape
- ANALYSIS AND APPROXIMATION OF A SCALAR CONSERVATION LAW WITH A FLUX FUNCTION WITH DISCONTINUOUS COEFFICIENTS
- Asymptotic Behavior of Two-Phase Flows in Heterogeneous Porous Media for Capillarity Depending Only on Space. I. Convergence to the Optimal Entropy Solution
- Pareto-Optimal Coupling Conditions for the Aw--Rascle--Zhang Traffic Flow Model at Junctions
- First order quasilinear equations with boundary conditions
- OPTIMAL ENTROPY SOLUTIONS FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX-FUNCTIONS
- An Engquist–Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections
- A UNIQUENESS CONDITION FOR NONLINEAR CONVECTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS COEFFICIENTS
- Solution of the Cauchy Problem for a Conservation Law with a Discontinuous Flux Function
- Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux
- Coherence of Coupling Riemann Solvers for Gas Flows Through Flux-Maximizing Valves
- Representation of capacity drop at a road merge via point constraints in a first order traffic model
- Well-posedness of general boundary-value problems for scalar conservation laws
- Shock Waves on the Highway
- Über ein Paradoxon aus der Verkehrsplanung
- Pedestrian flows and non-classical shocks
- The partial differential equation ut + uux = μxx
- On kinematic waves II. A theory of traffic flow on long crowded roads
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