7 citations · 13 across the 5 of their papers we have counts for
3 papers · 1 filter
On the Existence of Exponentially Decreasing Solutions of the Nonlinear Landau Damping Problem
Hyung Ju Hwang, Juan J. L. Velazquez
In this paper we prove the existence of a large class of periodic solutions of the Vlasov-Poisson in one space dimension that decay exponentially as t goes to infinity. The exponen…
A Kinetic Model for Grain Growth
Reiner Henseler, Michael Herrmann, Barbara Niethammer +1
We provide a well-posedness analysis of a kinetic model for grain growth introduced by Fradkov which is based on the von Neumann-Mullins law. The model consists of an infinite numb…
Optimal gradient estimates and asymptotic behaviour for the Vlasov-Poisson system with small initial data
Hyung Ju Hwang, Alan D. Rendall, Juan J. L. Velazquez
The Vlasov-Poisson system describes interacting systems of collisionless particles. For solutions with small initial data in three dimensions it is known that the spatial density o…