### Abstract

Lingua originale | English |
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Numero di pagine | 23 |

Stato di pubblicazione | Published - 2016 |

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**A Derivation of the Vlasov-Stokes System for Aerosol Flows from the Kinetic Theory of Binary Gas Mixtures.** / Bernard, E.; Desvillettes, L.; Golse, F.

Risultato della ricerca: Other contribution

*A Derivation of the Vlasov-Stokes System for Aerosol Flows from the Kinetic Theory of Binary Gas Mixtures*..

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TY - GEN

T1 - A Derivation of the Vlasov-Stokes System for Aerosol Flows from the Kinetic Theory of Binary Gas Mixtures

AU - Bernard, E.; Desvillettes, L.; Golse, F.

AU - Ricci, Valeria

PY - 2016

Y1 - 2016

N2 - In this short 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, arXiv:1608.00422 [math.AP]] where the evolution of the gas is governed by the Navier-Stokes equation.

AB - In this short 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, arXiv:1608.00422 [math.AP]] where the evolution of the gas is governed by the Navier-Stokes equation.

UR - http://hdl.handle.net/10447/201867

UR - http://arxiv.org/abs/1609.02504v1

M3 - Other contribution

ER -