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.

23 pages. arXiv admin note: substantial text overlap with arXiv:1608.00422

References in corpus (2)

• Regularity issues in the problem of fluid structure interaction
• A Derivation of the Vlasov-Navier-Stokes Model for Aerosol Flows from Kinetic Theory

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