Abstract
In this paper, we formally derive the thin spray equation for a steady Stokes gas (i.e. the equation consists in a coupling between a kinetic - Vlasov type - equation for the dispersed phase and a - steady - Stokes equation for the gas). Our starting point is a system of Boltzmann equations for a binary gas mixture. The derivation follows the procedure already outlined in [Bernard, Desvillettes, Golse, Ricci, Commun.Math.Sci.,15 (2017), 1703-1741] where the evolution of the gas is governed by the Navier-Stokes equation.
| Original language | English |
|---|---|
| Pages (from-to) | 43-69 |
| Number of pages | 27 |
| Journal | Kinetic and Related Models |
| Volume | 11 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Feb 2017 |
Keywords
- Aerosols
- Boltzmann equation
- Gas mixture
- Hydrodynamic limit
- Sprays
- Vlasov-Stokes system
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