16 citations · 43 across the 15 of their papers we have counts for
16 papers
Incompressible Navier-Stokes Limit of the Relativistic Boltzmann Equation with the Optimal Convergence Rate
Yanchao Li, Mingying Zhong
We study the diffusion limit of the classical solution to the relativistic Boltzmann equation with the initial data near a global relativistic Maxwellian. By using spectral analysi…
Global Stability and Energy Growth in the Sheared Vlasov--Poisson--Boltzmann System
Zhida Chang, Mingying Zhong
We study the Vlasov--Poisson--Boltzmann system on the three-dimensional torus under uniform shear flow. For Maxwell molecules with Grad's angular cutoff and sufficiently small shea…
Spectrum analysis and optimal time decay rates of a kinetic-fluid-Poisson system
Junhao Chen, Hailiang Li, Mingying Zhong
In this paper, we consider the Cauchy problem for the Vlasov-Poisson-Fokker-Planck/Navier-Stokes-Poisson (VPFP/NSP) system, which couples the VPFP system with the compressible NSP…
Diffusion Limit with Optimal Convergence Rate of Classical Solutions to the modified Vlasov-Poisson-Boltzmann System
Yanchao Li, Mingying Zhong
In the present paper, we study the diffusion limit of the classical solution to the modified Vlasov-Poisson-Boltzmann (mVPB) System with initial data near a global Maxwellian. Base…
Green's Function and Pointwise Space-time Behaviors of the three-Dimensional modified Vlasov-Poisson-Boltzmann System
Yanchao Li, Luobin Qiu, Mingying Zhong
The pointwise space-time behavior of the Green's function of the three-dimensional modified Vlasov-Poisson-Boltzmann system is studied in this paper. It is shown that the Green's f…
Diffusion Limit with Optimal Convergence Rate of Classical Solutions to the Vlasov-Maxwell-Boltzmann System
Tong Yang, Mingying Zhong
We study the diffusion limit of the strong solution to the Vlasov-Maxwell-Boltzmann (VMB) system with initial data near a global Maxwellian. By introducing a new decomposition of t…
Green's Function and Pointwise Behaviors of the One-Dimensional modified Vlasov-Poisson-Boltzmann System
Yanchao Li, Mingying Zhong
The pointwise space-time behaviors of the Green's function and the global solution to the modified Vlasov- Poisson-Boltzmann (mVPB) system in one-dimensional space are studied in t…
Spectrum analysis for the relativistic Boltzmann equation
Shijia Zhao, Mingying Zhong
The spectrum structure of the linearized relativistic Boltzmann equation around a global Maxwellian is studied in this paper. Based on the spectrum analysis, we establish the optim…
Diffusion Limit and the optimal convergence rate of the Vlasov-Poisson-Fokker-Planck system
Mingying Zhong
In the present paper, we study the diffusion limit of the classical solution to the Vlasov-Poisson-Fokker-Planck (VPFP) system with initial data near a global Maxwellian. We prove…
Green's Function and Pointwise Behaviors of the Vlasov-Poisson-Fokker-Planck System
Mingying Zhong
The pointwise space-time behaviors of the Green's function and the global solution to the Vlasov-Poisson-Fokker-Planck (VPFP) system in spatial three dimension are studied in this…
Green's function and Pointwise Behavior of the One-Dimensional Vlasov-Maxwell-Boltzmann System
Hai-Liang Li, Tong Yang, Mingying Zhong
The pointwise space-time behavior of the Green's function of the one-dimensional Vlasov-Maxwell-Boltzmann (VMB) system is studied in this paper. It is shown that the Green's functi…
Diffusion Limit of the Vlasov-Poisson-Boltzmann System
Hai-Liang Li, Tong Yang, Mingying Zhong
In the present paper, we study the diffusion limit of the classical solution to the unipolar Vlasov-Poisson-Boltzmann (VPB) system with initial data near a global Maxwellian. We pr…
Stability of nonlinear wave patterns to the bipolar Vlasov-Poisson-Boltzmann system
Hailiang Li, Yi Wang, Tong Yang +1
The main purpose of the present paper is to investigate the nonlinear stability of viscous shock waves and rarefaction wave for bipolar Vlasov-Poisson-Boltzmann (VPB) system. To th…
Spectrum analysis and optimal decay rates of the bipolar Vlasov-Poisson-Boltzmann equations
Hai-Liang Li, Tong Yang, Mingying Zhong
In the present paper, we consider the initial value problem for the bipolar Vlasov-Poisson-Boltzmann (bVPB) system and its corresponding modified Vlasov-Poisson-Boltzmann (mVPB). W…
Spectrum Structure and Behaviors of the Vlasov-Maxwell-Boltzmann Systems
Hai-Liang Li, Tong Yang, Mingying Zhong
The spectrum structures and behaviors of the Vlasov-Maxwell-Boltzmann (VMB) systems for both two species and one species are studied in this paper. The analysis shows the effect of…
Spectrum analysis for the Vlasov-Poisson-Boltzmann system
Hailiang Li, Tong Yang, Mingying Zhong
By identifying a norm capturing the effect of the forcing governed by the Poisson equation, we give a detailed spectrum analysis on the linearized Vlasov-Poisson-Boltzmann system a…