3 papers
math.AP2024
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…
math.AP2024
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…
math.AP2024
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…