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A nonlocal traffic flow model with stochastic velocity
Timo Böhme, Simone Göttlich and Andreas Neuenkirch ESAIM: Mathematical Modelling and Numerical Analysis 59(1) 487 (2025) https://doi.org/10.1051/m2an/2024082
A two-lane bidirectional nonlocal traffic model
Harold Deivi Contreras, Paola Goatin and Luis-Miguel Villada Journal of Mathematical Analysis and Applications 543(2) 129027 (2025) https://doi.org/10.1016/j.jmaa.2024.129027
A non-local traffic flow model for 1-to-1 junctions with buffer
Incorporating Nonlocal Traffic Flow Model in Physics-Informed Neural Networks
Archie J. Huang, Animesh Biswas and Shaurya Agarwal IEEE Transactions on Intelligent Transportation Systems 25(11) 16249 (2024) https://doi.org/10.1109/TITS.2024.3429029
A class of central unstaggered schemes for nonlocal conservation laws: Applications to traffic flow models
Conservation Laws with Nonlocal Velocity: The Singular Limit Problem
Jan Friedrich, Simone Göttlich, Alexander Keimer and Lukas Pflug SIAM Journal on Applied Mathematics 84(2) 497 (2024) https://doi.org/10.1137/22M1530471
Nonlocal Traffic Models with General Kernels: Singular Limit, Entropy Admissibility, and Convergence Rate
Convergence of a second-order scheme for non-local conservation laws
Veerappa Gowda G. D., Sudarshan Kumar Kenettinkara and Nikhil Manoj ESAIM: Mathematical Modelling and Numerical Analysis 57(6) 3439 (2023) https://doi.org/10.1051/m2an/2023080
Existence of entropy weak solutions for 1D non-local traffic models with space-discontinuous flux
Jan Friedrich, Simone Göttlich and Maximilian Osztfalk ESAIM: Mathematical Modelling and Numerical Analysis 56(1) 213 (2022) https://doi.org/10.1051/m2an/2022002
Nonlocal scalar conservation laws with discontinuous flux
Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws
Alexandre Bayen, Jan Friedrich, Alexander Keimer, Lukas Pflug and Tanya Veeravalli SIAM Journal on Applied Dynamical Systems 21(2) 1495 (2022) https://doi.org/10.1137/20M1366654
An asymptotically compatible probabilistic collocation method for randomly heterogeneous nonlocal problems
Nonlocal reaction traffic flow model with on-off ramps
Felisia Angela Chiarello, Harold Deivi Contreras and Luis Miguel Villada Networks and Heterogeneous Media 17(2) 203 (2022) https://doi.org/10.3934/nhm.2022003
A non-local macroscopic model for traffic flow
Ioana Ciotir, Rim Fayad, Nicolas Forcadel and Antoine Tonnoir ESAIM: Mathematical Modelling and Numerical Analysis 55(2) 689 (2021) https://doi.org/10.1051/m2an/2021006
Boundary Controllability and Asymptotic Stabilization of a Nonlocal Traffic Flow Model
Alexandre Bayen, Jean-Michel Coron, Nicola De Nitti, Alexander Keimer and Lukas Pflug Vietnam Journal of Mathematics 49(3) 957 (2021) https://doi.org/10.1007/s10013-021-00506-7
Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models
An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems
Huaiqian You, Xin Yang Lu, Nathaniel Trask and Yue Yu ESAIM: Mathematical Modelling and Numerical Analysis 55 S811 (2021) https://doi.org/10.1051/m2an/2020058
Local limit of nonlocal traffic models: Convergence results and total variation blow-up
Gianluca Crippa, Elio Marconi, Laura V. Spinolo and Maria Colombo Annales de l'Institut Henri Poincaré C, Analyse non linéaire 38(5) 1653 (2021) https://doi.org/10.1016/j.anihpc.2020.12.002
Crowd Dynamics, Volume 2
Rinaldo M. Colombo, Magali Lecureux-Mercier and Mauro Garavello Modeling and Simulation in Science, Engineering and Technology, Crowd Dynamics, Volume 2 83 (2020) https://doi.org/10.1007/978-3-030-50450-2_5
On Traffic Flow with Nonlocal Flux: A Relaxation Representation
Nonlocal Transport Equations---Existence and Uniqueness of Solutions and Relation to the Corresponding Conservation Laws
Jean-Michel Coron, Alexander Keimer and Lukas Pflug SIAM Journal on Mathematical Analysis 52(6) 5500 (2020) https://doi.org/10.1137/20M1331652
An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems
Huaiqian You, XinYang Lu, Nathaniel Task and Yue Yu ESAIM: Mathematical Modelling and Numerical Analysis 54(4) 1373 (2020) https://doi.org/10.1051/m2an/2019089
Micro-Macro Limit of a Nonlocal Generalized Aw-Rascle Type Model
Felisia A. Chiarello, Jan Friedrich, Paola Goatin and Simone Göttlich SIAM Journal on Applied Mathematics 80(4) 1841 (2020) https://doi.org/10.1137/20M1313337
A non-local traffic flow model for 1-to-1 junctions
F. A. CHIARELLO, J. FRIEDRICH, P. GOATIN, S. GÖTTLICH and O. KOLB European Journal of Applied Mathematics 31(6) 1029 (2020) https://doi.org/10.1017/S095679251900038X
On approximation of local conservation laws by nonlocal conservation laws