Linear stability of thick sprays equations - Sorbonne Université Access content directly
Journal Articles Journal of Statistical Physics Year : 2022

Linear stability of thick sprays equations


The coupling through both drag force and volume fraction (of gas) of a kinetic equation of Vlasov type and a system of Euler or Navier-Stokes type (in which the volume fraction explicity appears) leads to the socalled thick sprays equations. Those equations are used to describe sprays (droplets or dust specks in a surrounding gas) in which the volume fraction of the disperse phase is non negligible. As for other multiphase flows systems, the issues related to the linear stability around homogeneous solutions is important for the applications. We show in this paper that this stability indeed holds for thick sprays equations, under physically reasonable assumptions. The analysis which is performed makes use of Lyapunov functionals for the linearized equations.
Fichier principal
Vignette du fichier
adb45.pdf (491.47 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03462515 , version 1 (01-12-2021)
hal-03462515 , version 2 (03-10-2022)


  • HAL Id : hal-03462515 , version 2


C Buet, B Després, L Desvillettes. Linear stability of thick sprays equations. Journal of Statistical Physics, 2022. ⟨hal-03462515v2⟩
107 View
121 Download


Gmail Mastodon Facebook X LinkedIn More