This is a preview. Log in through your library . Abstract We prove the well-posedness of a system of balance laws inspired by [H. Holden and N. H. Risebro, SIAM J. Math. Anal., 51 (2019), pp.

Traffic congestion and its inherent stochasticity continue to challenge urban mobility worldwide. To address this, researchers have introduced a groundbreaking framework for modeling the Stochastic ...

We extend the classical Lighthill-Whitham-Richards (LWR) traffic model allowing different maximal speeds for different vehicles. Then we add a uniform bound on the traffic speed. The result, presented ...

The study of traffic flow dynamics and modelling represents a cornerstone of modern transport engineering, integrating theoretical formulations with practical applications to mitigate congestion, ...

Vehicular traffic flow has been tackled by mathematicians, engineers and physicists alike. Mathematical approaches to study traffic are usually based on the speed, density and flow of vehicles on ...