40 citations · 237 across the 34 of their papers we have counts for
Showing 2012 · math.NAShow all
3 papers · 2 filters
math.NA2012★ 1 cited
A class of multi-phase traffic theories for microscopic, kinetic and continuum traffic models
Raul Borsche, Mark Kimathi, Axel Klar
In the present paper a review and numerical comparison of a special class of multi-phase traffic theories based on microscopic, kinetic and macroscopic traffic models is given. Mac…
math.NA2012★ 3 cited
Kinetic derivation of a Hamilton-Jacobi traffic flow model
Raul Borsche, Axel Klar, Mark Kimathi
Kinetic models for vehicular traffic are reviewed and considered from the point of view of deriving macroscopic equations. A derivation of the associated macroscopic traffic flow e…
math.NA2012★ 2 cited
Simulation of a moving liquid droplet inside a rarefied gas region
Sudarshan Tiwari, Axel Klar, Steffen Hardt
We study the dynamics of a liquid droplet inside a gas over a large range of the Knudsen numbers. The moving liquid droplet is modeled by the incompressible Navier-Stokes equations…