4 papers
Equilibria of an anisotropic nonlocal interaction equation: Analysis and numerics
José A. Carrillo, Bertram Düring, Lisa Maria Kreusser +1
In this paper, we study the equilibria of an anisotropic, nonlocal aggregation equation with nonlinear diffusion which does not possess a gradient flow structure. Here, the anisotr…
Boltzmann and Fokker-Planck equations modelling the Elo rating system with learning effects
Bertram Düring, Marco Torregrossa, Marie-Therese Wolfram
In this paper we propose and study a new kinetic rating model for a large number of players, which is motivated by the well-known Elo rating system. Each player is characterised by…
Stability analysis of line patterns of an anisotropic interaction model
José A. Carrillo, Bertram Düring, Lisa Maria Kreusser +1
Motivated by the formation of fingerprint patterns we consider a class of interacting particle models with anisotropic, repulsive-attractive interaction forces whose orientations d…
Kinetic models for optimal control of wealth inequalities
Bertram Düring, Lorenzo Pareschi, Giuseppe Toscani
We introduce and discuss optimal control strategies for kinetic models for wealth distribution in a simple market economy, acting to minimize the variance of the wealth density amo…