Stability of a Nonlocal Traffic Flow Model for Connected Vehicles
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Publication:5024359
DOI10.1137/20M1355732zbMath1486.35293arXiv2007.13915OpenAlexW4226364648MaRDI QIDQ5024359
Publication date: 31 January 2022
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.13915
global stabilitytraffic flownonlocal gradientconnected vehiclesnonlocal Lighthill-Whitham-Richards (LWR) modelnonlocal Poincaré's inequality
Asymptotic behavior of solutions to PDEs (35B40) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Integro-differential operators (47G20) Integro-partial differential equations (35R09) Traffic and pedestrian flow models (76A30)
Related Items (8)
Numerical simulation of singularity propagation modeled by linear convection equations with spatially heterogeneous nonlocal interactions ⋮ Lyapunov Stabilization for Nonlocal Traffic Flow Models ⋮ A general result on the approximation of local conservation laws by nonlocal conservation laws: the singular limit problem for exponential kernels ⋮ Cruise controllers for lane-free ring-roads based on control Lyapunov functions ⋮ Convergence of a second-order scheme for non-local conservation laws ⋮ A space-time nonlocal traffic flow model: relaxation representation and local limit ⋮ An Efficient Jacobi Spectral Collocation Method with Nonlocal Quadrature Rules for Multi-Dimensional Volume-Constrained Nonlocal Models ⋮ On existence and uniqueness of weak solutions to nonlocal conservation laws with BV kernels
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