On the Existence of Solution of Conservation Law with Moving Bottleneck and Discontinuity in FLux

Abstract: 

In this paper, a PDE-ODE model with discontinuity in the flux as well as a flux constraint is analyzed. A modified Riemann solution is proposed and the existence of a weak solution to the Cauchy problem is rigorously investigated using the wavefront tracking scheme.

Author: 
Matin, Hossein Nick Zinat
Monache, Maria Laura Delle
Publication date: 
October 1, 2023
Publication type: 
Preprint
Citation: 
Matin, H. N. Z., & Monache, M. L. D. (2023). On the Existence of Solution of Conservation Law with Moving Bottleneck and Discontinuity in FLux (No. arXiv:2310.00537). arXiv. https://doi.org/10.48550/arXiv.2310.00537

Document

http://arxiv.org/abs/2310.00537

Topics

ITS Berkeley topic page, Traffic Operations and Management topic page