3 citations · 5 across the 4 of their papers we have counts for
8 papers
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…
Existence and uniqueness for a viscoelastic Kelvin-Voigt model with nonconvex stored energy
Konstantinos Koumatos, Corrado Lattanzio, Stefano Spirito +1
We consider nonlinear viscoelastic materials of Kelvin-Voigt type with stored energies satisfying an Andrews-Ball condition, allowing for non convexity in a compact set. Existence…
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 discrete variational scheme for isentropic processes in polyconvex thermoelasticity
Cleopatra Christoforou, Myrto Galanopoulou, Athanasios E. Tzavaras
We propose a variational scheme for the construction of isentropic processes of the equations of adiabatic thermoelasticity with polyconvex internal energy. The scheme hinges on th…
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…