18 citations · 20 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
On the asymptotic behaviour of a run and tumble equation for bacterial chemotaxis
Josephine Evans, Havva Yoldaş
We prove that linear and weakly non-linear run and tumble equations converge to a unique steady state solution with an exponential rate in a weighted total variation distance. In t…
Hypocoercivity of linear kinetic equations via Harris's Theorem
José A. Cañizo, Chuqi Cao, Josephine Evans +1
We study convergence to equilibrium of the linear relaxation Boltzmann (also known as linear BGK) and the linear Boltzmann equations either on the torus $(x,v) \in \mathbb{T}^d \ti…