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math.AP2025
On the existence of solutions to the multi-species Landau equation
Jonathan Junné, Raphael Winter, Havva Yoldaş
We consider the spatially homogeneous Landau equation for multiple species with different masses. As in the single-species case, the singularity of the collision operator is determ…
q-bio.PE2025
Ecological interactions and spatial dynamics in microbial aggregates: A novel modelling framework
Viktoria Freingruber, Rebeca Gonzalez-Cabaleiro, Havva Yoldaş
We present a mathematical model based on a system of partial differential equations (PDEs) with cross-diffusion and reaction terms to describe ecological interactions between multi…