40 citations · 237 across the 34 of their papers we have counts for
4 papers · 1 filter
Kinetic-controlled hydrodynamics for multilane traffic models
R. Borsche, A. Klar, M. Zanella
We study the application of a recently introduced hierarchical description of traffic flow control by driver-assist vehicles to include lane changing dynamics. Lane-dependent feedb…
Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: from subcellular dynamics to macroscopic PDEs with multiple taxis
G. Corbin, C. Engwer, A. Klar +4
We deduce a model for glioma invasion making use of DTI data and accounting for the dynamics of brain tissue being actively degraded by tumor cells via excessive acidity production…
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…