3 citations · 5 across the 4 of their papers we have counts for
7 papers · 1 filter
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…
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…