A DERIVATION OF THE VLASOV-STOKES SYSTEM FOR AEROSOL FLOWS FROM THE KINETIC THEORY OF BINARY GAS MIXTURES - Archive ouverte HAL Access content directly
Journal Articles Kinetic and Related Models Year : 2018

A DERIVATION OF THE VLASOV-STOKES SYSTEM FOR AEROSOL FLOWS FROM THE KINETIC THEORY OF BINARY GAS MIXTURES

Laurent Desvillettes
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  • PersonId : 833905
François Golse
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Valeria Ricci
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  • PersonId : 838591

Abstract

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.
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Dates and versions

hal-01717822 , version 1 (26-02-2018)

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Cite

Etienne Bernard, Laurent Desvillettes, François Golse, Valeria Ricci. A DERIVATION OF THE VLASOV-STOKES SYSTEM FOR AEROSOL FLOWS FROM THE KINETIC THEORY OF BINARY GAS MIXTURES. Kinetic and Related Models , 2018, 11 (1), pp.43-69. ⟨10.3934/krm.2018003⟩. ⟨hal-01717822⟩
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