14 citations · 23 across the 11 of their papers we have counts for
11 papers
Quantitative convergence in relative entropy for a moderately interacting particle system on
Li Chen, Alexandra Holzinger, Xiaokai Huo
This article shows how to combine the relative entropy method by D. Bresch, P.-E. Jabin, and Z. Wang in arXiv:1706.09564, arXiv:1906.04093 and the regularized -e…
Global existence and weak-strong uniqueness for chemotaxis compressible Navier-Stokes equations modeling vascular network formation
Xiaokai Huo, Ansgar Jüngel
A model of vascular network formation is analyzed in a bounded domain, consisting of the compressible Navier-Stokes equations for the density of the endothelial cells and their vel…
Diffusive limits of the steady state radiative heat transfer system: Curvature effects
Mohamed Ghattassi, Xiaokai Huo, Nader Masmoudi
This paper is devoted to the diffusive limit of the nonlinear radiative heat transfer system with curved boundary domain (\textit{two dimensional disk}). The solution constructed i…
Diffusive limits of the steady state radiative heat transfer system: Boundary layers
Mohamed Ghattassi, Xiaokai Huo, Nader Masmoudi
In this paper, we study the diffusive limit of the steady state radiative heat transfer system for non-homogeneous Dirichlet boundary conditions in a bounded domain with flat bound…
Stability of the nonlinear Milne Problem for radiative heat transfer system
Mohamed Ghattassi, Xiaokai Huo, Nader Masmoudi
This paper focuses on the nonlinear Milne problem of the radiative heat transfer system on the half-space. The nonlinear model is described by a second order ODE for temperature co…
Existence and weak-strong uniqueness for Maxwell-Stefan-Cahn-Hilliard systems
Xiaokai Huo, Ansgar Jüngel, Athanasios E. Tzavaras
A Maxwell-Stefan system for fluid mixtures with driving forces depending on Cahn-Hilliard-type chemical potentials is analyzed. The corresponding parabolic cross-diffusion equation…
Weak-strong uniqueness for Maxwell-Stefan systems
Xiaokai Huo, Ansgar Jüngel, Athanasios E. Tzavaras
The weak-strong uniqueness for Maxwell--Stefan systems and some generalized systems is proved. The corresponding parabolic cross-diffusion equations are considered in a bounded dom…
On the diffusive limits of radiative heat transfer system I: well prepared initial and boundary conditions
Mohamed Ghattassi, Xiaokai Huo, Nader Masmoudi
We study the diffusive limit approximation for a nonlinear radiative heat transfer system that arises in the modeling of glass cooling, greenhouse effects and in astrophysics. The…
An energy stable and positivity-preserving scheme for the Maxwell-Stefan diffusion system
Xiaokai Huo, Hailiang Liu, Athanasios E. Tzavaras +1
We develop a new finite difference scheme for the Maxwell-Stefan diffusion system. The scheme is conservative, energy stable and positivity-preserving. These nice properties stem f…
A positivity-preserving and energy stable scheme for a quantum diffusion equation
Xiaokai Huo, Hailiang Liu
We propose a new fully-discretized finite difference scheme for a quantum diffusion equation, in both one and two dimensions. This is the first fully-discretized scheme with proven…
High-friction limits of Euler flows for multicomponent systems
Xiaokai Huo, Ansgar Jüngel, Athanasios E. Tzavaras
The high-friction limit in Euler-Korteweg equations for fluid mixtures is analyzed. The convergence of the solutions towards the zeroth-order limiting system and the first-order co…