2 papers
math.AP2018
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…
math.AP2018
A convergent finite difference scheme for the Ostrovsky--Hunter equation with Dirichlet boundary conditions
Johanna Ridder, Adrian Montgomery Ruf
We prove convergence of a finite difference scheme to the unique entropy solution of a general form of the Ostrovsky--Hunter equation on a bounded domain with non-homogeneous Diric…