On Well-Posedness for Thick Spray Equations

Lucas Ertzbischoff
Université Paris Dauphine-PSL, France
- MathSciNet
- zbMATH Open
Daniel Han-Kwan
CNRS and Nantes Université, France
- MathSciNet
- zbMATH Open

This book is published open access.

	FrontmatterDownload pp. i–iv
	AbstractDownload p. v
	ContentsDownload pp. vii–viii
1	Introduction and main resultsDownload pp. 1–22
2	PreliminariesDownload pp. 23–46
3	Averaging operators related to the dynamics with frictionDownload pp. 47–58
4	Analysis of the kinetic momentsDownload pp. 59–90
5	Analysis of the fluid densityDownload pp. 91–124
6	End of the proofDownload pp. 125–132
7	Generalization to several models of thick spraysDownload pp. 133–148
A	Some classical (para-)differential inequalities on $T^{d}$ and $T^{d} \times R^{d}$ Download pp. 149–150
B	Local well-posedness for ( $S_{ε}$ ): Proof of Proposition 2.18Download pp. 151–160
C	Pseudodifferential calculus with a large parameter on $R \times T^{d}$ Download pp. 161–164
	ReferencesDownload pp. 165–172