38 citations · 105 across the 12 of their papers we have counts for
12 papers
Time-asymptotic stability of generic Riemann solutions for the system of heat-conductive ideal gas without viscosity
Yilin Guo, Lin-An Li, Jiahong Wu +1
This paper is concerned with the time-asymptotic stability of the generic Riemann solution for the one-dimensional system of heat-conductive ideal gas without viscosity, where the…
Global solutions to an initial-boundary value problem for a model of convection driven by surface tension
Wending Wu, Xiaojing Xu
This paper establishes the global existence of non-negative weak solutions to a two-dimensional, fourth-order nonlinear degenerate parabolic equation modeling surface-tension-drive…
Global Solutions to a Fourth-order Degenerate Model for Surface-Tension-Driven Convection
Wending Wu, Xiaojing Xu
This paper investigates the global existence and non-negativity of weak solutions to an initial-boundary value problem for a one-dimensional fourth-order nonlinear degenerate parab…
Stability and exponential decay for the 2D anisotropic Boussinesq equations with horizontal dissipation
Boqing Dong, Jiahong Wu, Xiaojing Xu +1
The hydrostatic equilibrium is a prominent topic in fluid dynamics and astrophysics. Understanding the stability of perturbations near the hydrostatic equilibrium of the Boussinesq…
Temperature patches for the subcritical Boussinesq-Navier-Stokes System with no diffusion
Calvin Khor, Xiaojing Xu
In this paper, we prove that temperature patch solutions to the subcritical Boussinesq-Navier-Stokes System with no diffusion preserve the Hölder regularity of their boundary for a…
Global Existence of Strong Solutions to Compressible Navier-Stokes System with Degenerate Heat Conductivity in Unbounded Domains
Kexin Li, Xuanlin Shu, Xiaojing Xu
In one-dimensional unbounded domains, we prove global existence of strong solutions to the compressible Navier-Stokes system for a viscous and heat conducting ideal polytropic gas,…
Global regularity for the 2D Oldroyd-B model in the corotational case
Zhuan Ye, Xiaojing Xu
This paper is dedicated to the Oldroyd-B model with fractional dissipation for any . We establish the global smooth solutions to the Oldroyd-B model in the corotatio…
Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation
Zhuan Ye, Xiaojing Xu
As a continuation of the previous work [40], in this paper we focus on the Cauchy problem of the two-dimensional (2D) incompressible Boussinesq equations with fractional Laplacian…
Hybrid stress quadrilateral finite element approximation for stochastic plane elasticity equations
Xiaojing Xu, Wenwen Fan, Xiaoping Xie
This paper considers stochastic hybrid stress quadrilateral finite element analysis of plane elasticity equations with stochastic Young's modulus and stochastic loads. Firstly, we…
Global small solution to the 2D MHD system with a velocity damping term
Jiahong Wu, Yifei Wu, Xiaojing Xu
This paper studies the global well-posedness of the incompressible magnetohydrodynamic (MHD) system with a velocity damping term. We establish the global existence and uniqueness o…
Small global solutions to the damped two-dimensional Boussinesq equations
Dhanapati Adhikari, Chongsheng Cao, Jiahong Wu +1
The two-dimensional (2D) incompressible Euler equations have been thoroughly investigated and the resolution of the global (in time) existence and uniqueness issue is currently in…
On convergence of solutions of fractal Burgers equation toward rarefaction waves
Grzegorz Karch, Changxing Miao, Xiaojing Xu
In the paper, the large time behavior of solutions of the Cauchy problem for the one dimensional fractal Burgers equation with is…