3 papers
math.AP2026
Linear stability of traveling Maxwellians for Landau equation with very soft potentials
Sanchit Chaturvedi, Jonathan Luk
Consider the Landau equation with a Coulomb potential linearized around traveling Maxwellians. We prove that the microscopic part of the linear solution decays with an inverse poly…
gr-qc2025
High-frequency backreaction for the Einstein equations under symmetry: from Einstein-dust to Einstein-Vlasov
Cécile Huneau, Jonathan Luk
Given suitable small, localized, -symmetric solutions to the Einstein-massless Vlasov system in an elliptic gauge, we prove that they can be approximated by high-freq…
math.AP2024
Linear and nonlinear phase mixing for the gravitational Vlasov-Poisson system under an external Kepler potential
Sanchit Chaturvedi, Jonathan Luk
In Newtonian gravity, a self-gravitating collisionless gas around a massive object such as a star or a planet is modeled via the Vlasov--Poisson system with an external Kepler pote…