23 citations · 148 across the 26 of their papers we have counts for
26 papers
Entropy-bounded solutions to the Cauchy problem of compressible planar non-resistive magnetohydrodynamics equations with far field vacuum
Jinkai Li, Mingjie Li, Yang Liu +1
We investigate the Cauchy problem to the compressible planar non-resistive magnetohydrodynamic equations with zero heat conduction. The global existence of strong solutions to such…
Entropy-bounded solutions to the 3D compressible heat-conducting magnetohydrodynamic equations with vacuum at infinity
Yang Liu, Xin Zhong
The mathematical analysis on the behavior of the entropy for viscous, compressible, and heat conducting magnetohydrodynamic flows near the vacuum region is a challenging problem as…
Global existence of strong solutions with large oscillations and vacuum to the compressible nematic liquid crystal flows in 3D bounded domains
Yang Liu, Xin Zhong
We investigate compressible nematic liquid crystal flows in three-dimensional (3D) bounded domains with slip boundary condition for velocity and Neumann boundary condition for orie…
Global well-posedness for three-dimensional compressible viscous micropolar and heat-conducting fluids with vacuum at infinity and large oscillations
Yang Liu, Xin Zhong
We investigate global well-posedness to the Cauchy problem of three-dimensional compressible viscous and heat-conducting micropolar fluid equations with zero density at infinity. B…
Multiphase curved boundary condition in lattice Boltzmann method
Yichen Yao, Yangsha Liu, Xingguo Zhong +1
The boundary treatment is fundamental for modeling fluid flows; especially, in the lattice Boltzmann method, the curved boundary conditions effectively improve the accuracy of sing…
Local well-posedness to the 2D Cauchy problem of full compressible magnetohydrodynamic equations with vacuum at infinity
Hong Chen, Xin Zhong
This paper concerns the Cauchy problem of two-dimensional (2D) full compressible magnetohydrodynamic (MHD) equations in the whole plane with zero density at infinity…
Global strong solution for 3D compressible heat-conducting magnetohydrodynamic equations revisited
Yang Liu, Xin Zhong
We revisit the 3D Cauchy problem of compressible heat-conducting magnetohydrodynamic equations with vacuum as far field density. By delicate energy method, we derive global existen…
Global well-posedness to the 2D Cauchy problem of nonhomogeneous heat conducting Navier-Stokes and magnetohydrodynamic equations with vacuum at infinity
Xin Zhong
We revisit the 2D Cauchy problem of nonhomogeneous heat conducting magnetohydrodynamic (MHD) equations in . For the initial density allowing vacuum at infinity, we de…
Global well-posedness and large time behavior for compressible non-isothermal nematic liquid crystal flows with vacuum at infinity
Yang Liu, Xin Zhong
We investigate the Cauchy problem of three-dimensional compressible non-isothermal nematic liquid crystal flows in . We derive the global existence and uniqueness of…
Global existence and decay estimates of strong solutions for compressible non-isentropic magnetohydrodynamic flows with vacuum
Yang Liu, Xin Zhong
We study the Cauchy problem of three-dimensional compressible non-isentropic magnetohydrodynamic (MHD) fluids with both interior and far field vacuum states. Applying delicate ener…
Global well-posedness and exponential decay to the Cauchy problem of nonhomogeneous Navier-Stokes equations with density-dependent viscosity and vacuum in
Xin Zhong
We study global well-posedness of strong solutions for the nonhomogeneous Navier-Stokes equations with density-dependent viscosity and initial density allowing vanish in $\mathbb{R…
Global well-posedness and exponential decay of 2D nonhomogeneous Navier-Stokes and magnetohydrodynamic equations with density-dependent viscosity and vacuum
Xin Zhong
We establish global well-posedness of strong solutions for the nonhomogeneous magnetohydrodynamic equations with density-dependent viscosity and initial density allowing vanish in…
Global well-posedness to three-dimensional full compressible magnetohydrodynamic equations with vacuum
Yang Liu, Xin Zhong
This paper studies the Cauchy problem for three-dimensional viscous, compressible, and heat conducting magnetohydrodynamic equations with vacuum as far field density. We prove the…
Singularity formation to the two-dimensional full compressible Navier-Stokes equations with zero heat conduction in a bounded domain
Xin Zhong
We consider the singularity formation of strong solutions to the two-dimensional full compressible Navier-Stokes equations with zero heat conduction in a bounded domain. It is show…
Strong solutions to the Cauchy problem of the two-dimensional non-baratropic non-resistive magnetohydrodynamic equations with zero heat conduction
Xin Zhong
This paper concerns the Cauchy problem of the non-baratropic non-resistive magnetohydrodynamic (MHD) equations with zero heat conduction on the whole two-dimensional (2D) space wit…
Singularity formation to the Cauchy problem of the two-dimensional non-baratropic magnetohydrodynamic equations without heat conductivity
Xin Zhong
We study the singularity formation of strong solutions to the two-dimensional (2D) Cauchy problem of the non-baratropic compressible magnetohydrodynamic equations without heat cond…
Singularity formation to the 2D Cauchy problem of the full compressible Navier-Stokes equations with zero heat conduction
Xin Zhong
The formation of singularity and breakdown of strong solutions to the two-dimensional (2D) Cauchy problem of the full compressible Navier-Stokes equations with zero heat conduction…
On formation of singularity of the full compressible magnetohydrodynamic equations with zero heat conduction
Xin Zhong
We are concerned with the formation of singularity and breakdown of strong solutions to the Cauchy problem of the three-dimensional full compressible magnetohydrodynamic equations…
Global Strong Solution for 3D Viscous Incompressible Heat Conducting Navier-Stokes Flows with Non-negative Density
Xin Zhong
We are concerned with an initial boundary value problem for the nonhomogeneous heat conducting Navier-Stokes flows with non-negative density. First of all, we show that for the ini…
A blow-up criterion for strong solutions to three-dimensional compressible magnetohydrodynamic equations
Xin Zhong
We are concerned with an initial boundary value problem for the compressible magnetohydrodynamic equations with viscosity depending on the density. It is show that for the initial…
Global strong solution to the two-dimensional density-dependent nematic liquid crystal flows with vacuum
Lin Li, Qiao Liu, Xin Zhong
We are concerned with the Cauchy problem of the two-dimensional (2D) nonhomogeneous incompressible nematic liquid crystal flows on the whole space with vacuum as f…
Global well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows with vacuum
Qiao Liu, Shengquan Liu, Wenke Tan +1
This paper concerns the Cauchy problem of the two-dimensional (2D) nonhomogeneous incompressible nematic liquid crystal flows on the whole space with vacuum as far…
Global Existence and Large Time Asymptotic Behavior of Strong Solutions to the Cauchy Problem of 2D Density-Dependent Magnetohydrodynamic Equations with Vacuum
Boqiang Lv, Zhonghai Xu, Xin Zhong
This paper concerns the Cauchy problem of the two-dimensional (2D) nonhomogeneous incompressible Magnetohydrodynamic (MHD) equations with vacuum as far field density. We establish…
Global Existence and Large Time Asymptotic Behavior of Strong Solutions to the Cauchy Problem of 2D Density-Dependent Navier-Stokes Equations with Vacuum
Boqiang Lv, Xiaoding Shi, Xin Zhong
We are concerned with the Cauchy problem of the two-dimensional (2D) nonhomogeneous incompressible Navier-Stokes equations with vacuum as far-field density. It is proved that if th…