Search results for "MSC: 35Q20"

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A DERIVATION OF THE VLASOV-NAVIER-STOKES MODEL FOR AEROSOL FLOWS FROM KINETIC THEORY

2016

This article proposes a derivation of the Vlasov-Navier-Stokes system for spray/aerosol flows. The distribution function of the dispersed phase is governed by a Vlasov-equation, while the velocity field of the propellant satisfies the Navier-Stokes equations for incompressible fluids. The dynamics of the dispersed phase and of the propellant are coupled through the drag force exerted by the propellant on the dispersed phase. We present a formal derivation of this model from a multiphase Boltzmann system for a binary gaseous mixture, involving the droplets/dust particles in the dispersed phase as one species, and the gas molecules as the other species. Under suitable assumptions on the colli…

MSC: 35Q20 35B25 (82C40 76T15 76D05)aerosolVlasov-Navier-Stokes systemGeneral Mathematics01 natural sciencesPhysics::Fluid DynamicsBoltzmann equationsymbols.namesakeMathematics - Analysis of PDEsThermal velocityPhase (matter)35Q20 35B25 (82C40 76T15 76D05)SpraysFOS: Mathematics[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]0101 mathematicsSettore MAT/07 - Fisica MatematicaPhysicsPropellantAerosolsGas mixtureApplied Mathematics010102 general mathematicsMechanicsMass ratioBoltzmann equationAerosol010101 applied mathematicsDistribution functionsprayBoltzmann constantsymbolsHydrodynamic limitAnalysis of PDEs (math.AP)
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