Scalar conservation laws with moving constraints arising in traffic flow modeling: an existence result
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Publication:743886
DOI10.1016/j.jde.2014.07.014zbMath1302.35248OpenAlexW2064021461MaRDI QIDQ743886
Publication date: 1 October 2014
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2014.07.014
Related Items (24)
Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux ⋮ Stability estimates for scalar conservation laws with moving flux constraints ⋮ Moving bottlenecks for the Aw-Rascle-Zhang traffic flow model ⋮ A LWR model with constraints at moving interfaces ⋮ The Cauchy problem for the Aw–Rascle–Zhang traffic model with locally constrained flow ⋮ Finite volume approximation and well-posedness of conservation laws with moving interfaces under abstract coupling conditions ⋮ A multiscale model for traffic regulation via autonomous vehicles ⋮ Control of multi-agent systems: results, open problems, and applications ⋮ On the coupling of well posed differential models ⋮ Macroscopic traffic flow modelling: from kinematic waves to autonomous vehicles ⋮ A PDE-ODE model for traffic control with autonomous vehicles ⋮ Interacting moving bottlenecks in traffic flow ⋮ A Macroscopic Model to Reproduce Self-organization at Bottlenecks ⋮ \(L^2\)-type contraction for shocks of scalar viscous conservation laws with strictly convex flux ⋮ Well-Posedness for Scalar Conservation Laws with Moving Flux Constraints ⋮ A Macroscopic Traffic Flow Model Accounting for Bounded Acceleration ⋮ A numerical scheme for moving bottlenecks in traffic flow ⋮ Microscopic and macroscopic models for coupled car traffic and pedestrian flow ⋮ 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 ⋮ A Macroscopic Model for Platooning in Highway Traffic ⋮ Two algorithms for a fully coupled and consistently macroscopic PDE-ODE system modeling a moving bottleneck on a road ⋮ Traffic Reconstruction Using Autonomous Vehicles ⋮ Multiscale Control of Generic Second Order Traffic Models by Driver-Assist Vehicles
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