Multi-Fluid Models Including Compressible Fluids

Didier Bresch (), Benoît Desjardins (), Jean-Michel Ghidaglia (), Emmanuel Grenier () and Matthieu Hillairet ()
Additional contact information
Didier Bresch: Université de Savoie Mont-Blanc, LAMA UMR 5127 CNRS Batiment le Chablais
Benoît Desjardins: CMLA, ENS Cachan, CNRS and Modélisation Mesures et Applications S.A., Fondation Mathématique Jacques Hadamard
Jean-Michel Ghidaglia: Ecole Normale Supérieure Paris-Saclay, Centre National de la Recherche Scientifique, Université Paris-Saclay, Centre de Mathématiques et de Leurs Applications (CMLA)
Emmanuel Grenier: Unité de Mathématiques Pures et Appliquées
Matthieu Hillairet: Université de Montpellier, Institut Montpelliérain Alexander Grothendiek, UMR 5149 CNRS

Chapter 52 in Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2018, pp 2927-2978 from Springer

Abstract: Abstract In this chapter, we focus on multi-fluid models including compressible fluids in the isentropic or isothermal case. The main objective of these notes is to present at the level of beginners an introduction to mesoscopic multi-fluid models. The guideline is to show how we derive mathematically some multi-fluid systems starting from mono-fluid models and how we use the mathematical structures of multi-fluid PDEs to prove well-posedness (local strong and global weak solutions). We hope by this chapter to motivate young researchers to work on such a difficult topic important for applications in industry (turbulent mixing in nuclear industry, reactive flows, propulsion, sprays, …) and for environmental purposes (violent aerated flows, wave breaking, …) for which there exists few theoretical mathematical results.

Keywords: 35Q30; 35D30; 54D30; 42B37; 35Q86; 92B05. (search for similar items in EconPapers)
Date: 2018
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-13344-7_74

Ordering information: This item can be ordered from
http://www.springer.com/9783319133447

DOI: 10.1007/978-3-319-13344-7_74

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().