70 citations · 239 across the 42 of their papers we have counts for
Showing 2020Show all
2 papers · 1 filter
math.OC2020★ 1 cited
Optimal Control of Hughes' Model for Pedestrian Flow via Local Attraction
Roland Herzog, Jan-Frederik Pietschmann, Max Winkler
We discuss the control of a human crowd whose dynamics is governed by a regularized version of Hughes' model, cf. Hughes: A continuum theory for the flow of pedestrians. Transporta…
math.AP2020★ 9 cited
Existence of weak solutions to a cross-diffusion Cahn-Hilliard type system
Virginie Ehrlacher, Greta Marino, Jan-Frederik Pietschmann
The aim of this article is to study a Cahn-Hilliard model for a multicomponent mixture with cross-diffusion effects, degenerate mobility and where only one of the species does sepa…