A Derivation of the Vlasov-Stokes System for Aerosol Flows from the Kinetic Theory of Binary Gas Mixtures
| Autor: | Bernard, Etienne, Desvillettes, Laurent, Golse, François, Ricci, Valeria |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Kinetic and Related Models \textbf{11} (2018), 43--69 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.3934/krm.2018003 |
| Popis: | 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. Comment: 23 pages. arXiv admin note: substantial text overlap with arXiv:1608.00422 |
| Databáze: | arXiv |
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