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math.AP2022
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…
math.AP2022★ 3 cited
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…
math.AP2022
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…