176 citations · 338 across the 14 of their papers we have counts for
18 papers
Low Mach number limit of the full Navier-Stokes equations with no-slip boundary conditions and large temperature variations
Xiaoyu Gu, Song Jiang, Qiangchang Ju +1
In this paper, we rigorously justify the low Mach number limit of the full compressible Navier-Stokes equations in a three-dimensional smooth bounded domain, subject to the no-slip…
Low Mach number limit around the planar diffusion wave for 3D Navier-Stokes-Fourier equations
Qiangchang Ju, Rui Li, Fanrui Meng
We investigate the low Mach number limit of the three-dimensional full compressible Navier-Stokes-Fourier (NSF) equations on \(\mathbb{R}\times\mathbb{T}^2\) for two different clas…
Hilbert Expansion of the coupled radiation-Euler in the equilibrium regime
Qiangchang Ju, Lei Li, Zhengce Zhang
In this paper, we establish the validity of the Hilbert expansion for the coupled radiation-Euler model with non-relativistic source term for general initial data on the torus $\ma…
Global existence for full compressible Navier-Stokes equations around the Couette flow with a temperature gradient in an infinite channel
Tuowei Chen, Qiangchang Ju
This paper is concerned with the two-dimensional full compressible Navier-Stokes equations between two infinite parallel isothermal walls, where the upper wall is moving with a hor…
Uniform Anisotropic Regularity and Low Mach Number Limit of Non-isentropic Ideal MHD Equations with a Perfectly Conducting Boundary
Qiangchang Ju, Jiawei Wang, Junyan Zhang
We prove the low Mach number limit of non-isentropic ideal magnetohydrodynamic (MHD) equations with general initial data in the half-space whose boundary satisfies the perfectly co…
Non-equilibrium-diffusion limit of the compressible Euler radiation model
Qiangchang Ju, Lei Li, Zhengce Zhang
We justify rigorously the non-equilibrium-diffusion limit of the compressible Euler model coupled with a radiative transfer equation arising in radiation hydrodynamics. For general…
Global existence and low mach number limit of strong solutions to the full compressible Navier-Stokes equations around the plane Couette flow
Tuowei Chen, Qiangchang Ju
In this paper, we study the global existence and low Mach number limit of strong solutions to the 2-D full compressible Navier-Stokes equations around the plane Couette flow in a h…
Singular Limits for the Navier-Stokes-Poisson Equations of Viscous Plasma with Strong Density Boundary Layer
Qiangchang Ju, Tao Luo, Xin Xu
The quasi-neutral limit of the Navier-Stokes-Poisson system modeling a viscous plasma with vanishing viscosity coefficients in the half-space is rigorously pro…
Three-Scale Singular Limits of Evolutionary PDEs
Bin Cheng, Qiangchang Ju, Steve Schochet
Singular limits of a class of evolutionary systems of partial differential equations having two small parameters and hence three time scales are considered. Under appropriate condi…
Convergence Rate Estimates for the Low Mach and Alfvén Number Three-Scale Singular Limit of Compressible Ideal Magnetohydrodynamics
Bin Cheng, Qiangchang Ju, Steve Schochet
Convergence rate estimates are obtained for singular limits of the compressible ideal magnetohydrodynamics equations, in which the Mach and Alfvén numbers tend to zero at different…
Incompressible limit of the non-isentropic ideal magnetohydrodynamic equations
Song Jiang, Qiangchang Ju, Fucai Li
We study the incompressible limit of the compressible non-isentropic ideal magnetohydrodynamic equations with general initial data in the whole space (). We f…
Weak-strong uniqueness property for the compressible flow of liquid crystals
Yong-Fu Yang, Changsheng Dou, Qiangchang Ju
Weak-strong uniqueness property in the class of finite energy weak solutions is established for two different compressible liquid crystal systems by the method of relative entropy.…
Incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity
Song Jiang, Qiangchang Ju, Fucai Li
We study the incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity and general initial data in the whole space $\math…
Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data
Song Jiang, Qiangchang Ju, Fucai Li +1
The low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data is rigorously justified in the whole space . The uniform i…
Low Mach number limit for the multi-dimensional Full magnetohydrodynamic equations
Song Jiang, Qiangchang Ju, Fucai Li
The low Mach number limit for the multi-dimensional full magnetohydrodynamic equations, in which the effect of thermal conduction is taken into account, is rigorously justified in…
Incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions
Song Jiang, Qiangchang Ju, Fucai Li
This paper is concerned with the incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions. It is rigorously shown that the weak solu…
The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general initial data
Qiangchang Ju, Fucai Li, Hailiang Li
The quasineutral limit of compressible Navier-Stokes-Poisson system with heat conductivity and general (ill-prepared) initial data is rigorously proved in this paper. It is proved…
Incompressible limit of the compressible magnetohydrodynamic equations with vanishing viscosity coefficients
Song Jiang, Qiangchang Ju, Fucai Li
This paper is concerned with the incompressible limit of the compressible magnetohydrodynamic equations with vanishing viscosity coefficients and general initial data in the whole…