40 citations · 237 across the 34 of their papers we have counts for
44 papers
Analysis of a competitive respiratory disease system with quarantine
Anna Daniel Fome, Wolfgang Bock, Axel Klar
In the world of epidemics, the mathematical modeling of disease co-infection is gaining importance due to its contributions to mathematics and public health. Because the co-infecti…
A hierarchy of kinetic discrete-velocity models for traffic flow derived from a non-local Prigogine-Herman model
Raul Borsche, Axel Klar
Starting from a non-local version of the Prigogine-Herman traffic model, we derive a natural hierarchy of kinetic discrete velocity models for traffic flow consisting of systems of…
A mesh-free particle method for continuum modeling of granular flow
Sudarshan Tiwari, Axel Klar
Based on the continuum model for granular media developed in Dunatunga et al. we propose a mesh-free generalized finite difference method for the simulation of granular flows. The…
A meshfree arbitrary Lagrangian-Eulerian method for the BGK model of the Boltzmann equation with moving boundaries
Sudarshan Tiwari, Axel Klar, Giovanni Russo
In this paper we present a novel technique for the simulation of moving boundaries and moving rigid bodies immersed in a rarefied gas using an Eulerian-Lagrangian formulation based…
Modeling and simulations of moving droplet in a Rarefied gas
S. Tiwari, A. Klar, G. Russo
We study a two phase flow with interactions of liquid and rarefied gas inside the gas phase. The gas phase is modeled by the BGK model of the Boltzmann equation. The liquid phase i…
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…