1 citations · 1 across the 4 of their papers we have counts for
4 papers
Traveling Waves for Conservation Laws with Nonlocal Flux for Traffic Flow on Rough Roads
Wen Shen
We consider two scalar conservation laws with non-local flux functions, describing traffic flow on roads with rough conditions. In the first model, the velocity of the car depends…
Traveling Waves for Nonlocal Models of Traffic Flow
Johanna Ridder, Wen Shen
We consider several non-local models for traffic flow, including both microscopic ODE models and macroscopic PDE models. The ODE models describe the movement of individual cars, wh…
Traveling Wave Profiles for a Follow-the-Leader Model for Traffic Flow with Rough Road Condition
Wen Shen
We study a Follow-the-Leader (FtL) ODE model for traffic flow with rough road condition, and analyze stationary traveling wave profiles where the solutions of the FtL model trace a…
Traveling Waves for a Microscopic Model of Traffic Flow
Wen Shen, Karim Shikh-Khalil
We consider the follow-the-leader model for traffic flow. The position of each car satisfies an ordinary differential equation, whose speed depends only on the relative po…