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math.AP2017
A nonlinear discrete-velocity relaxation model for traffic flow
Raul Borsche, Axel Klar
We derive a nonlinear 2-equation discrete-velocity model for traffic flow from a continuous kinetic model. The model converges to scalar Lighthill-Whitham type equations in the rel…
math.AP2017
Kinetic layers and coupling conditions for macroscopic equations on networks I: the wave equation
Raul Borsche, Axel Klar
We consider kinetic and associated macroscopic equations on networks. The general approach will be explained in this paper for a linear kinetic BGK model and the corresponding limi…