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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.AP2026
A nonlocal Busenberg-Travis cross-diffusion system with nonlinear Brinkman law
Peter Hirvonen, Ansgar Jüngel
A nonlocal Busenberg-Travis cross-diffusion system for segregating populations is analyzed in a bounded domain with no-flux boundary conditions. The velocities of the species solve…
math.AP2024
Analysis of a Poisson-Nernst-Planck cross-diffusion system with steric effects
Peter Hirvonen, Ansgar Jüngel
A transient Poisson-Nernst-Planck system with steric effects is analyzed in a bounded domain with no-flux boundary conditions for the ion concentrations and mixed Dirichlet-Neumann…