2 citations · 2 across the 4 of their papers we have counts for
5 papers
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…
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…
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…
High-frequency solutions to the Einstein equations
Cécile Huneau, Jonathan Luk
We review recent mathematical results concerning the high-frequency solutions to the Einstein vacuum equations and the limits of these solutions. In particular, we focus on two con…
Burnett's conjecture in generalized wave coordinates
Cécile Huneau, Jonathan Luk
We prove Burnett's conjecture in general relativity when the metrics satisfy a generalized wave coordinate condition, i.e., suppose is a sequence of Lorentzi…