46 citations · 190 across the 23 of their papers we have counts for
24 papers
Large time behavior of global solutions to one-dimensional non-isentropic compressible Navier-Stokes-Poisson equations with large initial data
Lan Zhang, Huijiang Zhao
In this paper, we are concerned with the construction of global solutions to the Cauchy problem for the one-dimensional non-isentropic compressible Navier-Stokes-Poisson equations,…
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 Existence and Vanishing Dispersion Limit of Strong/Classical Solutions to the One-dimensional Compressible Quantum Navier-Stokes Equations with Large Initial Data
Zhengzheng Chen, Huijiang Zhao
We are concerned with the global existence and vanishing dispersion limit of strong/classical solutions to the Cauchy problem of the one-dimensional barotropic compressible quantum…
Global Regularity for A Radiation Hydrodynamics Model with Viscosity and Thermal Conductivity
Junhao Zhang, Huijiang Zhao
In this paper, we study the global wellposedness of a radiation hydrodynamics model with viscosity and thermal conductivity. It is now well-understood that, unlike the compressible…
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…
Radially Symmetric Stationary Wave for Two-dimensional Burgers Equation
Huijiang Zhao, Qingsong Zhao
We are concerned with the radially symmetric stationary wave for the exterior problem of two-dimensional Burgers equation. A sufficient and necessary condition to guarantee the exi…
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…
Asymptotics of Radially Symmetric Solutions for the Exterior Problem of Multidimensional Burgers Equation
Tong Yang, Huijiang Zhao, Qingsong Zhao
We are concerned with the large-time behavior of the radially symmetric solution for multidimensional Burgers equation on the exterior of a ball $\mathbb{B}_{r_0}(0)\subset \mathbb…
Global Spherical Symmetric Flows for a Viscous Radiative and Reactive Gas in an Exterior Domain with Large Initial Data
Yongkai Liao, Tao Wang, Huijiang Zhao
In this paper, we study the global existence, uniqueness and large-time behavior of spherically symmetric solution of a viscous radiative and reactive gas in an unbounded domain ex…
Global Existence and Large-time Behavior of Solutions to the Cauchy Problem of One-dimensional Viscous Radiative and Reactive Gas
Yongkai Liao, Huijiang Zhao
Although there are many results on the global solvability and the precise description of the large time behaviors of solutions to the initial-boundary value problems of the one-dim…
Global smooth solutions to the nonisothermal compressible fluid models of Korteweg type with large initial data
Zhengzheng Chen, Lin He, Huijiang Zhao
The global solutions with large initial data for the isothermal compressible fluid models of Korteweg type has been studied by many authors in recent years. However, little is know…
Asymptotic stability of wave patterns to compressible viscous and heat-conducting gases in the half space
Ling Wan, Tao Wang, Huijiang Zhao
We study the large-time behavior of solutions to the compressible Navier-Stokes equations for a viscous and heat-conducting ideal polytropic gas in the one-dimensional half-space.…
Viscous Shock Wave to an Inflow Problem for Compressible Viscous Gas with Large Density Oscillations
Dongfen Bian, Lili Fan, Lin He +1
This paper is concerned with the inflow problem for the one-dimensional compressible Navier-Stokes equations. For such a problem, F. M. Huang, A. Matsumura and X. D. Shi showed tha…
One-Dimensional Compressible Heat-Conducting Gas with Temperature-Dependent Viscosity
Tao Wang, Huijiang Zhao
We consider the one-dimensional compressible Navier--Stokes system for a viscous and heat-conducting ideal polytropic gas when the viscosity and the heat conductivity depen…
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…
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…
Inflow Problem for the One-dimensional Compressible Navier-Stokes Equations under Large Initial Perturbation
Lili Fan, Hongxia Liu, Tao Wang +1
This paper is concerned with the inflow problem for the one-dimensional compressible Navier-Stokes equations. For such a problem, Matsumura and Nishihara showed in [A. Matsumura an…
Incompressible Navier-Stokes-Fourier Limit from The Boltzmann Equation: Classical Solutions
Ning Jiang, Chao-Jiang Xu, Huijiang Zhao
The global classical solution to the incompressible Navier-Stokes-Fourier equation with small initial data in the whole space is constructed through a zero Knudsen number limit fro…
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…
One-dimensional Compressible Navier-Stokes Equations with Temperature Dependent Transport Coefficients and Large Data
Hongxia Liu, Tong Yang, Huijiang Zhao +1
This paper is concerned with the global smooth non-vacuum solutions with large data to the Cauchy problem of the one-dimensional compressible Navier-Stokes equations with degenerat…
Existence and stability of stationary solutions to the full compressible Navier-Stokes-Korteweg system
Zhengzheng Chen, Huijiang Zhao
This paper is concerned with the existence, uniqueness and nonlinear stability of stationary solutions to the Cauchy problem of the full compressible Navier-Stokes-Korteweg system…
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…
Global solutions to the Vlasov-Poisson-Landau System
Renjun Duan, Tong Yang, Huijiang Zhao
Based on the recent study on the Vlasov-Poisson-Boltzmann system with general angular cutoff potentials [3, 4], we establish in this paper the global existence of classical solutio…
The Vlasov-Poisson-Boltzmann System for Soft Potentials
Renjun Duan, Tong Yang, Huijiang Zhao
An important physical model describing the dynamics of dilute weakly ionized plasmas in the collisional kinetic theory is the Vlasov-Poisson-Boltzmann system for which the plasma r…