70 citations · 239 across the 42 of their papers we have counts for
4 papers · 1 filter
Nonlocal cross-interaction systems on graphs: Nonquadratic Finslerian structure and nonlinear mobilities
Georg Heinze, Jan-Frederik Pietschmann, Markus Schmidtchen
We study the evolution of a system of two species with nonlinear mobility and nonlocal interactions on a graph whose vertices are given by an arbitrary, positive measure. To this e…
Active Crowds
Maria Bruna, Martin Burger, Jan-Frederik Pietschmann +1
This chapter focuses on the mathematical modelling of active particles (or agents) in crowded environments. We discuss several microscopic models found in literature and the deriva…
Uncertainty Analysis for Drift-Diffusion Equations
Greta Marino, Jan-Frederik Pietschmann, Alois Pichler
We study evolution equations of drift-diffusion type when various parameters are random. Motivated by applications in pedestrian dynamics, we focus on the case when the total mass…
Dynamic optimal transport on networks
Martin Burger, Ina Humpert, Jan-Frederik Pietschmann
We study a dynamic optimal transport problem on a network. Despite the cost for transport along the edges, an additional cost, scaled with a parameter , has to be paid for inter…