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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…
math.AP2024
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…
math.AP2019
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…