55 citations · 598 across the 84 of their papers we have counts for
Showing 2021 · math.APShow all
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math.AP2021★ 4 cited
On multi-species diffusion with size exclusion
Katharina Hopf, Martin Burger
We revisit a classical continuum model for the diffusion of multiple species with size-exclusion constraint, which leads to a degenerate nonlinear cross-diffusion system. The purpo…
math.AP2021
Kinetic Equations for Processes on Co-evolving Networks
Martin Burger
The aim of this paper is to derive macroscopic equations for processes on large co-evolving networks, examples being opinion polarization with the emergence of filter bubbles or ot…
math.AP2021★ 2 cited
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…