26 citations · 39 across the 10 of their papers we have counts for
10 papers
Well-Posedness and Exponential Decay for the Navier-Stokes Equations of Viscous Compressible Heat-Conductive Fluids with Vacuum
Suhua Lai, Hao Xu, Jianwen Zhang
This paper is concerned with the Cauchy problem of Navier-Stokes equations for compressible viscous heat-conductive fluids with far-field vacuum at infinity in . For less reg…
On the infinite Prandtl number limit in two-dimensional magneto-convection
Jianwen Zhang, Mingyu Zhang
In this paper, the infinite limit of the Prandtl number is justified for the two-dimensional incompressible magneto-convection, which describes the nonlinear interaction between th…
Explicit evaluation of quadratic Euler sums
Ce Xu, Yingyue Yang, Jianwen Zhang
In this paper, we work out some explicit formulae for double nonlinear Euler sums involving harmonic numbers and alternating harmonic numbers. As applications of these formulae, we…
Global solvability, non-resistive limit and magnetic boundary layer of the compressible heat-conductive MHD equations
Jianwen Zhang, Xiaokui Zhao
In general, the resistivity is inversely proportional to the electrical conductivity, and is usually taken to be zero when the conducting fluid is of extremely high conductivity (e…
Vanishing shear viscosity limit and boundary layer for the one-dimensional full compressible MHD equations with large data
Xia Ye, Jianwen Zhang
This paper is concerned with an initial and boundary value problem of the one-dimensional planar MHD equations for viscous, heat-conducting, compressible, ideal polytropic fluids w…
On the vanishing resistivity limit and the magnetic boundary-layers for one-dimensional compressible magnetohydrodynamics
Song Jiang, Jianwen Zhang
We consider an initial-boundary value problem for the one-dimensional equations of compressible isentropic viscous and non-resistive magnetohydrodynamic flows. The global well-pose…
Vanishing shear viscosity limit and boundary layer for the one-dimensional full compressible MHD equations with large data
Xia Ye, Jianwen Zhang
This paper is concerned with an initial and boundary value problem of the one-dimensional planar MHD equations for viscous, heat-conducting, compressible, ideal polytropic fluids w…
Global well-posedness for the two-dimensional equations of nonhomogeneous incompressible liquid crystal flows with nonnegative density
Shengquan Liu, Jianwen Zhang
In this paper, the authors first establish the global well-posedness of strong solutions of the simplified Ericksen-Leslie model for nonhomogeneous incompressible nematic liquid cr…
Global Well-Posedness with Large Oscillations and Vacuum to the Three-Dimensional Equations of Compressible Nematic Liquid Crystal Flows
Jing Li, Zhonghai Xu, Jianwen Zhang
This paper is concerned with the three-dimensional equations of a simplified hydrodynamic flow modeling the motion of compressible, nematic liquid crystal materials. The authors es…
On the motion of three-dimensional compressible isentropic flows with large external potential forces and vacuum
Jing Li, Jianwen Zhang, Junning Zhao
We study the global existence and uniqueness of classical solutions to the three-dimensional compressible isentropic Navier-Stokes equations with vacuum and external potential forc…