Non-isothermal multicomponent flows with mass diffusion and heat conduction

2023/01/21 by Stefanos Georgiadis, Ansgar Jüngel, Georgiadis, Stefanos +3
Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2301.08928

openalex publication_date 2023/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

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 result among thermomechanical theories in the smooth regime are discussed. Furthermore, the global-in-time existence of weak solutions and the weak-strong uniqueness property are established for the corresponding system with zero barycentric velocity.

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