2 citations · 2 across the 6 of their papers we have counts for
4 papers · 1 filter
A spectral approach to interface layers on networks for the linearized BGK equation and its acoustic limit
Raul Borsche, Tobias Damm, Axel Klar +1
We consider in this paper a velocity discretized version of the full linear kinetic BGK model and the corresponding limit for small Knudsen number, the linearised Euler or acoustic…
Relaxation models for scalar traffic networks and zero relaxation limit
Raul Borsche, Axel Klar
In this paper we propose coupling conditions for a relaxation model for vehicular traffic on networks. We present a matched asymptotic expansion procedure to derive a LWR- network…
A kinetic traffic network model and its macroscopic limit: diverging lanes
Raul Borsche, Axel Klar
In this paper we propose coupling conditions for a kinetic two velocity model for vehicular traffic for junctions with diverging lanes. We consider cases with and without direction…
A kinetic traffic network model and its macroscopic limit: merging lanes
Raul Borsche, Axel Klar
In this paper we propose coupling conditions for a kinetic two velocity model for vehicular traffic on networks. These conditions are based on the consideration of the free space o…