37 citations · 91 across the 23 of their papers we have counts for
3 papers · 1 filter
On a novel gradient flow structure for the aggregation equation
A. Esposito, R. S. Gvalani, A. Schlichting +1
The aggregation equation arises naturally in kinetic theory in the study of granular media, and its interpretation as a 2-Wasserstein gradient flow for the nonlocal interaction ene…
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…
On the Incompressible Limit for a Tumour Growth Model incorporating Convective Effects
Noemi David, Markus Schmidtchen
In this work we study a tissue growth model with applications to tumour growth. The model is based on that of Perthame, Quirós, and Vázquez proposed in 2014 but incorporates the ad…