Non-isothermal multicomponent flows with mass diffusion and heat conduction

TL;DR

This paper introduces a comprehensive model for non-isothermal multicomponent gas flows incorporating mass diffusion and heat conduction, proving key mathematical properties like existence and uniqueness of solutions.

Contribution

It presents a new type-I model for multicomponent gases with rigorous derivation, convergence analysis, and proof of global weak solutions and uniqueness.

Findings

Model accurately describes mass diffusion and heat conduction in gases.

Proves global-in-time existence of weak solutions.

Establishes weak-strong uniqueness property.

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.