33 citations · 46 across the 18 of their papers we have counts for
4 papers · 1 filter
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…
Determining the collision kernel in the Boltzmann equation near the equilibrium
Li Li, Zhimeng Ouyang
We consider an inverse problem for the nonlinear Boltzmann equation near the equilibrium. Our goal is to determine the collision kernel in the Boltzmann equation from the knowledge…
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…