Abstract
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 asymptotic model is shown to fit into the general theory of hyperbolic-parabolic systems, by exploiting the entropy structure inherited through the asymptotic procedure. Finally, by deriving the relative entropy identity for the Type-I model, two convergence results for smooth solutions are presented, from the system with mass-diffusion and heat conduction to the corresponding system without mass-diffusion but including heat conduction and to its hyperbolic counterpart.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 69-106 |
| Number of pages | 38 |
| Journal | ESAIM: Mathematical Modelling and Numerical Analysis |
| Volume | 57 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1 2023 |
Bibliographical note
Publisher Copyright:© The authors. Published by EDP Sciences, SMAI 2023.
Keywords
- Bott-Duffin inverse
- Chapman-Enskog expansion
- Euler flows
- Hyperbolic-parabolic
- Multicomponent systems
- Non-isothermal model
- Relative entropy
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Modeling and Simulation
- Computational Mathematics
- Applied Mathematics