3 citations · 5 across the 4 of their papers we have counts for
6 papers
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…
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…
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…