9 citations · 20 across the 16 of their papers we have counts for
4 papers · 1 filter
Diffusive Limit of the Boltzmann Equation in Bounded Domains
Zhimeng Ouyang, Lei Wu
The rigorous justification of the hydrodynamic limits of kinetic equations in bounded domains has been actively investigated in recent years. In spite of the progress for the diffu…
Hilbert Expansion for Coulomb Collisional Kinetic Models
Zhimeng Ouyang, Lei Wu, Qinghua Xiao
The relativistic Vlasov-Maxwell-Landau (r-VML) system and the relativistic Landau equation (r-LAN) are fundamental models that describe the dynamics of an electron gas. In this pap…
Continuum limit for the Ablowitz--Ladik system
Rowan Killip, Zhimeng Ouyang, Monica Visan +1
We show that solutions to the Ablowitz--Ladik system converge to solutions of the cubic nonlinear Schrödinger equation for merely initial data. Furthermore, we consider initi…
Hilbert Expansion for the Relativistic Landau Equation
Zhimeng Ouyang, Lei Wu, Qinghua Xiao
In this paper, we study the local-in-time validity of the Hilbert expansion for the relativistic Landau equation. We justify that solutions of the relativistic Landau equation conv…