A Hölder continuous ODE related to traffic flow

DOI10.1017/S0308210500002663zbMath1052.34007OpenAlexW2043348861MaRDI QIDQ4462183

Andrea Marson, Rinaldo M. Colombo

Publication date: 18 May 2004

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500002663

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Traffic problems in operations research (90B20)

Related Items (18)

A weakly coupled model of differential equations for thief tracking ⋮ Stability estimates for scalar conservation laws with moving flux constraints ⋮ A new queue shock wave theory based on platoon dispersion modeling ⋮ Traveling waves for a microscopic model of traffic flow ⋮ Optima and equilibria for traffic flow on networks with backward propagating queues ⋮ On the micro-macro limit in traffic flow ⋮ Markovian solutions to discontinuous ODEs ⋮ A front tracking method for a strongly coupled PDE-ODE system with moving density constraints in traffic flow ⋮ Free-congested and micro-macro descriptions of traffic flow ⋮ A justification of a LWR model based on a follow the leader description ⋮ Well-Posedness for Scalar Conservation Laws with Moving Flux Constraints ⋮ A Macroscopic Traffic Flow Model Accounting for Bounded Acceleration ⋮ \(L ^{2}\) stability estimates for shock solutions of scalar conservation laws using the relative entropy method ⋮ Scalar conservation laws with moving constraints arising in traffic flow modeling: an existence result ⋮ Traffic Reconstruction Using Autonomous Vehicles ⋮ A mixed ODE–PDE model for vehicular traffic ⋮ On the Braess paradox with nonlinear dynamics and control theory ⋮ Rigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit

This page was built for publication: A Hölder continuous ODE related to traffic flow