8 papers
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…
Asymptotic mean value Laplacian on equiregular sub-Riemannian manifolds
Fabrice Baudoin, Jonathan Junné, David Tewodrose
Let be a smooth equiregular sub-Riemannian manifold equipped with a smooth positive measure . We study the small-scale limit of the metric-ball mean-value op…
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…
Propagation of Velocity Moments for the Magnetized Vlasov-Poisson System with Space-Time Dependent Magnetic Fields
Immanuel Ben Porat, Antoine Gagnebin, Mikaela Iacobelli +1
We prove that polynomial velocity moments of solutions to the 2D magnetized Vlasov-Poisson system and the 3D magnetized screened Vlasov-Poisson equation remain finite for all times…
Stability Estimates in Kinetic Wasserstein Distances for the Vlasov-Poisson System with Yudovich Density
Jonathan Junné, Alexandre Rege
We investigate the stability of solutions to the Vlasov-Poisson system using the unifying framework of the kinetic Wasserstein distance, introduced by Iacobelli in (Section 4 in Ar…
Hydrodynamic limit of the symmetric exclusion process on complete Riemannian manifolds and principal bundles
Jonathan Junné, Frank Redig, Rik Versendaal
We prove that the hydrodynamic limit of the symmetric exclusion process (SEP) is a Fokker-Planck equation in the setting of Poisson random neighborhood graphs approximating a weigh…
Invariance principle for Lifts of Geodesic Random Walks
Jonathan Junné, Frank Redig, Rik Versendaal
We consider a certain class of Riemannian submersions and study lifted geodesic random walks from the base manifold to the total manifold . Under appropriate co…
Stability estimates for the Vlasov-Poisson system in -kinetic Wasserstein distances
Mikaela Iacobelli, Jonathan Junné
We extend Loeper's -estimate relating the electric fields to the densities for the Vlasov-Poisson system to , with , based on the Helmholtz-Weyl decompos…