24 citations · 47 across the 14 of their papers we have counts for
14 papers
Self-Similar Radially Symmetric Solutions of the Relativistic Euler Equations with Synge Energy
Tommaso Ruggeri, Ferdinand Thein, Qinghua Xiao
We consider self-similar, radially symmetric solutions of the relativistic Euler equations with constitutive relations from relativistic kinetic theory, based on Synge energies for…
Classical limit of the relativistic Vlasov-Maxwell-Landau system
Chuqi Cao, Ling-Bing He, Yuanjie Lei +1
The physical essence of the non-relativistic limit, from the relativistic Vlasov-Maxwell-Landau system to the Vlasov-Poisson-Landau system, lies in the transition from finite-speed…
Emergent behaviors of relativistic thermodynamic flocks with Synge energy
Ziming Bian, Seung-Yeal Ha, Tommaso Ruggeri +1
Collective motion and self-organization of interacting particles, such as flocking and swarming, can be viewed as nonequilibrium analogues of collective dynamics in gases. Motivate…
The non-cutoff Vlasov-Poisson-Boltzmann system with weak collisions
Yuanjie Lei, Shuangqian Liu, Qinghua Xiao +1
We prove global existence of smooth solutions near Maxwellians for the non-cutoff Vlasov-Poisson-Boltzmann system in the weakly collisional regime. To address the weak dissipation…
Optimal convergence speed in the classical limits of relativistic Cucker-Smale models
Seung-Yeal Ha, Tommaso Ruggeri, Qinghua Xiao
We study quantitative estimates for the flocking and uniform-time classical limit to the relativistic Cucker-Smale (in short RCS) model introduced in \cite{Ha-Kim-Ruggeri-ARMA-2020…
Global Hilbert expansion for some non-relativistic kinetic equations
Yuanjie Lei, Shuangqian Liu, Qinghua Xiao +1
The Vlasov-Maxwell-Landau (VML) system and the Vlasov-Maxwell-Boltzmann (VMB) system are fundamental models in dilute collisional plasmas. In this paper, we are concerned with the…
Hilbert expansion for kinetic equations with non-relativistic Coulomb collision
Yuanjie Lei, Shuangqian Liu, Qinghua Xiao +1
In this paper, we study the hydrodynamic limits of both the Landau equation and the Vlasov-Maxwell-Landau system in the whole space. Our main purpose is two-fold: the first one is…
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…
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…
The Riemann problem of relativistic Euler system with Synge energy
Tommaso Ruggeri, Qinghua Xiao, HuiJiang Zhao
In this paper, we study the Riemann problem of relativistic Euler system for rarefied monatomic and diatomic gases when the constitutive equation for the energy is the Synge equati…
Global Hilbert expansion for the relativistic Vlasov-Maxwell-Boltzmann system
Yan Guo, Qinghua Xiao
Consider the relativistic Vlasov-Maxwell-Boltzmann system describing the dynamics of an electron gas in the presence of a fixed ion background. Thanks to recent works \cite{Germain…
Asymptotic stability of the phase-homogeneous solution to the Kuramoto-Sakaguchi equation with inertia
Young-Pil Choi, Seung-Yeal Ha, Qinghua Xiao +1
We present the global-in-time existence of strong solutions and its large-time behavior for the Kuramoto-Sakaguchi equation with inertia. The equation describes the evolution of th…
The Vlasov-Poisson-Boltzmann system for the whole range of cutoff soft potentials
Qinghua Xiao, Linjie Xiong, Huijiang Zhao
The dynamics of dilute electrons can be modeled by the fundamental one-species Vlasov-Poisson-Boltzmann system which describes mutual interactions of the electrons through collisio…
Time periodic solutions of compressible fluid models of Korteweg type
Zhengzheng Chen, Qinghua Xiao, Huijiang Zhao
This paper is concerned with the existence, uniqueness and time-asymptotic stability of time periodic solutions to the compressible Navier-Stokes-Korteweg system effected by a time…