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A DERIVATION OF THE VLASOV-STOKES SYSTEM FOR AEROSOL FLOWS FROM THE KINETIC THEORY OF BINARY GAS MIXTURES
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.
Cited literature [19 references]
https://hal-polytechnique.archives-ouvertes.fr/hal-01717822
Contributor : François Golse Connect in order to contact the contributor
Submitted on : Monday, February 26, 2018 - 6:31:48 PM
Last modification on : Saturday, June 19, 2021 - 3:50:17 AM
Long-term archiving on: : Monday, May 28, 2018 - 3:27:41 PM
Contributor : François Golse Connect in order to contact the contributor
Submitted on : Monday, February 26, 2018 - 6:31:48 PM
Last modification on : Saturday, June 19, 2021 - 3:50:17 AM
Long-term archiving on: : Monday, May 28, 2018 - 3:27:41 PM
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