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20212024
most citedThree results on the Energy conservation for the 3D Euler equations

1 citations · 1 across the 7 of their papers we have counts for

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7 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.AP2023

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…

math.AP2023

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.AP2023★ 1 cited

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…

math.AP2023

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…

math.AP2023

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…

math.AP2021

Asymptotic derivation of multicomponent compressible flows with heat conduction and mass diffusion

Stefanos Georgiadis, Athanasios E. Tzavaras

A Type-I model of a multicomponent system of fluids with non-constant temperature is derived as the high-friction limit of a Type-II model via a Chapman-Enskog expansion. The asymp…