3 papers
math.AP2025
On the existence of solutions to the multi-species Landau equation
Jonathan Junné, Raphael Winter, Havva YoldaÅ
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 YoldaÅ
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…
math.AP2025
Macroscopic effects of an anisotropic Gaussian-type repulsive potential: nematic alignment and spatial effects
Sara Merino-Aceituno, Steffen Plunder, Claudia Wytrzens +1
Elongated particles in dense systems often exhibit alignment due to volume exclusion interactions, leading to packing configurations. Traditional models of collective dynamics typi…