144 citations · 711 across the 21 of their papers we have counts for
21 papers
Global weak solutions with higher regularity to the compressible Navier-Stokes equations under Dirichlet boundary conditions
Xiangdi Huang, Zhouping Xin, Wei Yan
In this manuscript, we aim to establish global existence of weak solutions with higher regularity to the compressible Navier-Stokes equations under no-slip boundary conditions. Tho…
Global large strong solutions to the compressible Navier-Stokes equations with density-dependent viscosities, case I: isentropic flows
Xiangdi Huang, Jiaxu Li, Rong Zhang
In this paper, we consider the Cauchy problem for the three-dimensional barotropic compressible Navier-Stokes equations with density-dependent viscosities. By considering the syste…
Global large strong solution of the 3D inhomogeneous Navier-Stokes equations with density-dependent viscosity
Xiangdi Huang, Jiaxu Li, Rong Zhang
This paper concerns the Dirichlet problem of three-dimensional inhomogeneous Navier-Stokes equations with density-dependent viscosity. When the viscosity coefficient is a po…
Global large strong solutions to the radially symmetric compressible Navier-Stokes equations in 2D solid balls
Xiangdi Huang, Mengluan Su, Wei Yan +1
In this paper, we consider the initial-boundary value problems of the compressible isentropic Navier-Stokes equations with density-dependent viscosity on two dimensional solid ball…
On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum
Xiangdi Huang
We consider the local well-posedness of strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with density containing vacuum initi…
On formation of singularity for non-isentropic Navier-Stokes equations without heat-conductivity
Xiangdi Huang, Zhouping Xin
It is known that smooth solutions to the non-isentropic Navier-Stokes equations without heat-conductivity may lose their regularities in finite time in the presence of vacuum. Howe…
Existence and uniqueness of weak solutions of the compressible spherically symmetric Navier-Stokes equations
Xiangdi Huang
One of the most influential fundamental tools in harmonic analysis is Riesz transform. It maps functions to functions for any which plays an important…
Global solvability of 3D inhomogeneous Navier-Stokes equations with density-dependent viscosity
Xiangdi Huang, Yun Wang
In this paper, we consider the three-dimensional inhomogeneous Navier-Stokes equations with density-dependent viscosity in presence of vacuum over bounded domains. Global-in-time u…
On Formation of Singularity of Spherically Symmetric Nonbarotropic Flows
Xiangdi Huang
We study an initial boundary value problem on a ball for the heat-conductive system of compressible Navier-Stokes-Fourier equations, in particular, a criterion of breakdown of the…
On some new global existence result of 3D Magnetohydrodynamic equations
Cheng He, Xiangdi Huang, Yun Wang
This paper is devoted to the incompressible Magenetohydrodynamic equations in . We prove that if the difference between the magnetic field and the velocity is small initially…
Global Wellposeness for the 3D inhomogeneous incompressible Navier-Stokes equations
Walter Craig, Xiangdi Huang, Yun Wang
This paper addresses the three-dimensional Navier-Stokes equations for an incompressible fluid whose density is permitted to be inhomogeneous. We establish a theorem of global exis…
Serrin-Type Blowup Criterion for Viscous, Compressible, and Heat Conducting Navier-Stokes and Magnetohydrodynamic Flows
Xiangdi Huang, Jing Li
This paper establishes a blowup criterion for the three-dimensional viscous, compressible, and heat conducting magnetohydrodynamic (MHD) flows. It is essentially shown that for the…
Global Well-Posedness of Classical Solutions to the Cauchy problem of Two-Dimensional Baratropic Compressible Navier-Stokes System with Vacuum and Large Initial Data
Xiangdi Huang, Jing Li
For smooth initial data, we establish the global existence and uniqueness of strong and classical solutions to the Cauchy problem for the barotropic compressible Navier-Stokes equa…
Global Strong solution with vacuum to the 2D nonhomogeneous incompressible MHD system
Xiangdi Huang, Yun Wang
In this paper, we first prove the unique global strong solution with vacuum to the two dimensional nonhomogeneous incompressible MHD system, as long as the initial data satisfies s…
Existence and Blowup Behavior of Global Strong Solutions to the Two-Dimensional Baratropic Compressible Navier-Stokes System with Vacuum and Large Initial Data
Xiangdi Huang, Jing Li
For periodic initial data with initial density allowed to vanish, we establish the global existence of strong and weak solutions for the two-dimensional compressible Navier-Stokes…
Global Classical and Weak Solutions to the Three-Dimensional Full Compressible Navier-Stokes System with Vacuum and Large Oscillations
Xiangdi Huang, Jing Li
We establish the global existence and uniqueness of classical solutions to the three-dimensional full compressible Navier-Stokes system with smooth initial data which are of small…
Blowup Criterion for the Compressible Flows with Vacuum States
Xiangdi Huang, Jing Li, Zhouping Xin
We prove that the maximum norm of the deformation tensor of velocity gradients controls the possible breakdown of smooth(strong) solutions for the 3-dimensional compressible Navier…
Serrin Type Criterion for the Three-Dimensional Viscous Compressible Flows
Xiangdi Huang, Jing Li, Zhouping Xin
We extend the well-known Serrin's blowup criterion for the three-dimensional (3D) incompressible Navier-Stokes equations to the 3D viscous compressible cases. It is shown that for…
Global Well-Posedness of Classical Solutions with Large Oscillations and Vacuum to the Three-Dimensional Isentropic Compressible Navier-Stokes Equations
Xiangdi Huang, Jing Li, Zhouping Xin
We establish the global existence and uniqueness of classical solutions to the Cauchy problem for the isentropic compressible Navier-Stokes equations in three spatial dimensions wi…
A Blow-Up Criterion for Classical Solutions to the Compressible Navier-Stokes Equations
Xiangdi Huang, Zhouping Xin
In this paper, we obtain a blow up criterion for classical solutions to the 3-D compressible Naiver-Stokes equations just in terms of the gradient of the velocity, similar to the B…
A Blow-Up Criterion for the Compressible Navier-Stokes equations
Xiangdi Huang, Zhouping Xin
In this paper, we obtain a blow up criterion for strong solutions to the 3-D compressible Naveri-Stokes equations just in terms of the gradient of the velocity, similar to the Beal…