5 papers
Hydrodynamic limit and Newtonian limit from the relativistic Vlasov-Maxwell-Boltzmann system to the classical Euler-Poisson system
Yong Wang, Hang Xiong, Hongyao Zhang
In this paper, around a global smooth irrotational solution to the classical isentropic compressible Euler-Poisson system, we construct classical solutions to the one-species relat…
The Boltzmann Equation for 2D Taylor-Couette Flow
Renjun Duan, Weiqiang Wang, Yong Wang
In this paper, we investigate the existence of 2-D Taylor-Couette flow for a rarefied gas between two coaxial rotating cylinders, characterized by differing angular velocities at t…
Hilbert expansion of the Boltzmann equation on a 2-dimensional disk with specular boundary condition
Feimin Huang, Jing Ouyang, Yong Wang
In the present paper, we concern the hydrodynamic limit of Boltzmann equation with specular reflection boundary condition in a two-dimensional disk to the compressible Euler equati…
Low Mach number Limit of Steady Thermally Driven Fluid
Feimin Huang, Weiqiang Wang, Yong Wang
In this paper, we establish the existence of strong solutions to the steady non-isentropic compressible Navier-Stokes system with Dirichlet boundary conditions in bounded domains w…
Uniqueness of composite wave of shock and rarefaction in the inviscid limit of Navier-Stokes equations
Feimin Huang, Weiqiang Wang, Yi Wang +1
The uniqueness of entropy solution for the compressible Euler equations is a fundamental and challenging problem. In this paper, the uniqueness of a composite wave of shock and rar…