Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws
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Publication:5090109
DOI10.1137/20M1366654zbMath1497.35315MaRDI QIDQ5090109
Alexander Keimer, Alexandre M. Bayen, Lukas Pflug, Tanya Veeravalli, Jan Friedrich
Publication date: 15 July 2022
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
traffic flow modelingnonlocal conservation lawsexistence and uniqueness of weak solutionslane changing with macroscopic nonlocal traffic flow modelsmacroscopic traffic flow modelingnonlocal traffic flow models with obstacles
Hyperbolic conservation laws (35L65) Weak solutions to PDEs (35D30) Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for first-order hyperbolic equations (35L03) Traffic and pedestrian flow models (76A30)
Related Items (8)
Lyapunov Stabilization for Nonlocal Traffic Flow Models ⋮ On the singular limit problem for a discontinuous nonlocal conservation law ⋮ A general result on the approximation of local conservation laws by nonlocal conservation laws: the singular limit problem for exponential kernels ⋮ Nonlinear semigroups for nonlocal conservation laws ⋮ Discontinuous nonlocal conservation laws and related discontinuous ODEs -- existence, uniqueness, stability and regularity ⋮ Mean-field limit of a hybrid system for multi-lane multi-class traffic ⋮ A proof of Kirchhoff's first law for hyperbolic conservation laws on networks ⋮ On existence and uniqueness of weak solutions to nonlocal conservation laws with BV kernels
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