Non-isothermal multicomponent flows with mass diffusion and heat conduction

Stefanos Georgiadis; ANSGAR JUNGEL; Athanasios Tzavaras

Non-isothermal multicomponent flows with mass diffusion and heat conduction

Stefanos Georgiadis, ANSGAR JUNGEL, Athanasios Tzavaras

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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.

Original language	English (US)
Title of host publication	XVIII International Conference on Hyperbolic Problems: Theory, Numerics, Applications (HYP2022)
Publisher	Springer
State	Published - Jan 24 2023

Bibliographical note

KAUST Repository Item: Exported on 2023-01-25
Acknowledgements: The first and second authors acknowledge partial support from the Austrian Science Fund (FWF), grants P33010 and F65. This work has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme, ERC Advanced Grant no. 101018153.

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Cite this

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title = "Non-isothermal multicomponent flows with mass diffusion and heat conduction",

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.",

author = "Stefanos Georgiadis and ANSGAR JUNGEL and Athanasios Tzavaras",

note = "KAUST Repository Item: Exported on 2023-01-25 Acknowledgements: The first and second authors acknowledge partial support from the Austrian Science Fund (FWF), grants P33010 and F65. This work has received funding from the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 research and innovation programme, ERC Advanced Grant no. 101018153.",

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T1 - Non-isothermal multicomponent flows with mass diffusion and heat conduction

AU - Georgiadis, Stefanos

AU - JUNGEL, ANSGAR

AU - Tzavaras, Athanasios

N1 - KAUST Repository Item: Exported on 2023-01-25 Acknowledgements: The first and second authors acknowledge partial support from the Austrian Science Fund (FWF), grants P33010 and F65. This work has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme, ERC Advanced Grant no. 101018153.

PY - 2023/1/24

Y1 - 2023/1/24

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/687291

UR - https://arxiv.org/abs/2301.08928

M3 - Conference contribution

BT - XVIII International Conference on Hyperbolic Problems: Theory, Numerics, Applications (HYP2022)

PB - Springer

ER -

Non-isothermal multicomponent flows with mass diffusion and heat conduction

Abstract

Bibliographical note

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