5 citations · 7 across the 11 of their papers we have counts for
12 papers
Optimal time decay of the Boltzmann equation with cutoff soft potentials in the whole space
Yuanjie Lei, Xiongju Wei, Tong Yang +1
Since Strain's work \cite{Strain-2012-KRM} on almost optimal time decay rates for the microscopic part of perturbative classical solutions to the Boltzmann system with soft potenti…
Time-periodic solutions of the Boltzmann equation with soft potentials in
Yuanjie Lei, Shuangqian Liu, Jiaying Zhang +1
We establish the existence of time-periodic solutions to the Boltzmann equation for the full range of soft potentials and prove their global stability. The proof relies on refined…
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…
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…
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…
From Vlasov-Maxwell-Landau system with Coulomb potential to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm's law
Yuanjie Lei, Ning Jiang
In the diffusive regime, we obtain the uniform in Knudsen number estimate on the two-species Vlasov-Maxwell-Landau system with Coulomb potential around the global equilibrium. As a…
The incompressible Navier-Stokes-Fourier-Maxwell system limits of the Vlasov-Maxwell-Boltzmann system for soft potentials: the noncutoff cases and cutoff cases
Ning Jiang, Yuanjie Lei
We obtain the global-in-time and uniform in Knudsen number energy estimate for the cutoff and non-cutoff scaled Vlasov-Maxwell-Boltzmann system for the soft potential. For 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…
Global mild solutions to the Vlasov-Maxwell-Fokker-Planck system
Yingzhe Fan, Yuanjie Lei
Motivated by Duan et al.[Global Mild Solutions of the Landau and Non-Cutoff Boltzmann Equations, Comm. Pure Appl. Math., 74(5), 932-1020.], the global existence of mild solutions t…
On the Vlasov-Poisson-Boltzmann limit of the Vlasov-Maxwell-Boltzmann system
Ning Jiang, Yuanjie Lei, Huijiang Zhao
For the whole range of cutoff intermolecular interactions, we give a rigorous mathematical justification of the limit from the Vlasov-Maxwell-Boltzmann system to the Vlasov-Poisson…
The Vlasov-Maxwell-Boltzmann system near Maxwellians in the whole space with very soft potentials
Renjun Duan, Yuanjie Lei, Tong Yang +1
Since the work [13] by Guo [Invent. Math. 153 (2003), no. 3, 593--630], how to establish the global existence of perturbative classical solutions around a global Maxwellian to the…
Negative Sobolev Spaces and the Two-species Vlasov-Maxwell-Landau System in the Whole Space
Yuanjie Lei, Huijiang Zhao
A global solvability result of the Cauchy problem of the two-species Vlasov-Maxwell-Landau system near a given global Maxwellian is established by employing an approach different t…