6 papers
Equilibration versus Localization in a Diffusion-Relaxation System
Aseel AlNajjar, Hoyoun Kim, Athanasios Tzavaras
We consider a diffusion-relaxation system and investigate the conditions on parameters leading to equilibration versus localization. When the diffusion is dominant, solutions conve…
Absence of anomalous dissipation for weak solutions of the Maxwell--Stefan system
Luigi C. Berselli, Stefanos Georgiadis, Athanasios E. Tzavaras
In this paper we give a short and self-contained proof of the fact that weak solutions to the Maxwell-Stefan system automatically satisfy an entropy equality, establishing the abse…
Oscillatory and regularized shock waves for a modified Serre-Green-Naghdi system
Daria Bolbot, Dimitrios Mitsotakis, Athanasios E. Tzavaras
The Serre-Green-Naghdi equations of water wave theory have been widely employed to study undular bores. In this study, we introduce a modified Serre-Green-Naghdi system incorporati…
Axisymmetric flows with swirl for Euler and Navier-Stokes equations
Theodoros Katsaounis, Ioanna Mousikou, Athanasios E. Tzavaras
We consider the incompressible axisymmetric Navier-Stokes equations with swirl as an idealized model for tornado-like flows. Assuming an infinite vortex line which interacts with a…
Alignment via friction for nonisothermal multicomponent fluid systems
Stefanos Georgiadis, Athanasios E. Tzavaras
The derivation of an approximate Class-I model for nonisothermal multicomponent systems of fluids, as the high-friction limit of a Class-II model is justified, by validating the Ch…
Renormalized solutions for the Maxwell--Stefan system with an application to uniqueness of weak solutions
Stefanos Georgiadis, Hoyoun Kim, Athanasios E. Tzavaras
We give conditions that guarantee uniqueness of renormalized solutions for the Maxwell-Stefan system. The proof is based on an identity for the evolution of the symmetrized relativ…