7 papers
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…
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 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…