8 citations · 21 across the 11 of their papers we have counts for
7 papers · 1 filter
A counterexample to McKean's conjecture for the Landau-Coulomb equation
Jonathan Junné, Raphael Winter, Havva Yoldaş
We disprove McKean's conjecture, which asserts that the entropy dissipation is monotone nonincreasing along solutions, or equivalently that the entropy is convex in time, for the s…
Runaway avalanches in plasmas with external electric fields: spatially inhomogeneous case in a perturbation framework
Ling-Bing He, Richard M. Höfer, Jie Ji +1
We consider the Landau-Coulomb equation for a (hydrogen) plasma heated by an external electric field. In this setting, theoretical and experimental results in plasma physics show t…
Existence and non-uniqueness of stationary states for the Vlasov-Poisson equation on subject to attractive background charges
Raphael Winter
We prove the existence of stationary solutions for the density of an infinitely extended plasma interacting with an arbitrary configuration of background charges. Furthermore, we s…
The grazing collisions limit from the linearized Boltzmann equation to the Landau equation for short-range potentials
Corentin Le Bihan, Raphael Winter
The Landau equation and the Boltzmann equation are connected through the limit of grazing collisions. This has been proved rigorously for certain families of Boltzmann operators co…
A fast point charge interacting with the screened Vlasov-Poisson system
Richard M. Höfer, Raphael Winter
We consider the long-time behavior of a fast, charged particle interacting with an initially spatially homogeneous background plasma. The background is modeled by the screened Vlas…
Well-posedness of the Lenard-Balescu equation with smooth interactions
Mitia Duerinckx, Raphael Winter
The Lenard-Balescu equation was formally derived in the 1960s as the fundamental description of the collisional process in a spatially homogeneous system of interacting particles.…
Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge
Adolfo Arroyo-Rabasa, Raphael Winter
We prove that the Debye screening length emerges in a spatially homogeneous plasma described by the nonlinear Vlasov-Poisson equation interacting with a point charge. While screene…