2 papers
math.AP2026
Superlinear nonlocal diffusion systems for multispecies populations: well-posedness and discrete chain rules
Peter Hirvonen, Ansgar Jüngel, Annamaria Pollino
A nonlocal diffusion system describing the dynamics of multi-species populations and approximating the Shigesada-Kawasaki-Teramoto (SKT) model is analyzed in a bounded domain. The…
math.AP2025
Cross-diffusion limits in multispecies kinetic models
Ansgar Jüngel, Annamaria Pollino, Satoshi Taguchi
Cross-diffusion systems are formally derived from multispecies kinetic models in the diffusion limit. The first limit in the multispecies BGK model of Gross and Krook leads to a va…