3 papers
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.AP2025
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…
math.AP2025
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…