5 papers
Long-time dynamics of Vlasov--Hartree systems across the Coulomb threshold
Wenrui Huang, Mengyi Xie
We study the three-dimensional Vlasov--Hartree system with Coulomb and inverse-power interactions. For small, regular, localized data, we prove global well-posedness and determine…
The Vlasov-Poisson system with a perfectly conducting wall: Convex domains
Wenrui Huang, Benoît Pausader, Masahiro Suzuki
We consider the Vlasov--Poisson system in a convex domain with a perfectly conducting wall. We introduce the asymptotic domain for the domain . Then under…
Scattering map for the Vlasov--Poisson system with a repulsive harmonic potential
Wenrui Huang, Hyunwoo Kwon
We consider the Vlasov--Poisson system with a repulsive harmonic potential and prove the (modified) scattering of solutions, as well as the existence of wave operators, in any spat…
Stability and instability of small BGK waves
Dongfen Bian, Emmanuel Grenier, Wenrui Huang +1
The aim of this article is to prove that the linear stability or instability of small Bernstein-Green-Kruskal (BGK) waves is determined by the sign of the derivative of their energ…
Scattering of the Vlasov-Riesz system in the three dimensions
Wenrui Huang, Hyunwoo Kwon
We consider an asymptotic behavior of solutions to the Vlasov-Riesz system of order in which is a kinetic model induced by Riesz interactions. We prove small da…