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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…
Three results on the Energy conservation for the 3D Euler equations
Luigi C. Berselli, Stefanos Georgiadis
We consider the 3D Euler equations for incompressible homogeneous fluids and we study the problem of energy conservation for weak solutions in the space-periodic case. First, we pr…
Global existence of weak solutions and weak-strong uniqueness for nonisothermal Maxwell-Stefan systems
Stefanos Georgiadis, Ansgar Jüngel
The dynamics of multicomponent gas mixtures with vanishing barycentric velocity is described by Maxwell-Stefan equations with mass diffusion and heat conduction. The equations cons…
Non-isothermal multicomponent flows with mass diffusion and heat conduction
Stefanos Georgiadis, Ansgar Jüngel, Athanasios Tzavaras
A type-I model of non-isothermal multicomponent systems of gases describing mass diffusive and heat conductive phenomena is presented. The derivation of the model and a convergence…