# Formal passage from kinetic theory to incompressible Navier–Stokes equations for a mixture of gases

Marzia Bisi; Laurent Desvillettes

- Volume: 48, Issue: 4, page 1171-1197
- ISSN: 0764-583X

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topBisi, Marzia, and Desvillettes, Laurent. "Formal passage from kinetic theory to incompressible Navier–Stokes equations for a mixture of gases." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 48.4 (2014): 1171-1197. <http://eudml.org/doc/273132>.

@article{Bisi2014,

abstract = {We present in this paper the formal passage from a kinetic model to the incompressible Navier−Stokes equations for a mixture of monoatomic gases with different masses. The starting point of this derivation is the collection of coupled Boltzmann equations for the mixture of gases. The diffusion coefficients for the concentrations of the species, as well as the ones appearing in the equations for velocity and temperature, are explicitly computed under the Maxwell molecule assumption in terms of the cross sections appearing at the kinetic level.},

author = {Bisi, Marzia, Desvillettes, Laurent},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {kinetic theory; incompressible Navier–Stokes equations; hydrodynamic limits; incompressible Navier-Stokes equation; gas mixture; hydrodynamic limit; Boltzmann equations},

language = {eng},

number = {4},

pages = {1171-1197},

publisher = {EDP-Sciences},

title = {Formal passage from kinetic theory to incompressible Navier–Stokes equations for a mixture of gases},

url = {http://eudml.org/doc/273132},

volume = {48},

year = {2014},

}

TY - JOUR

AU - Bisi, Marzia

AU - Desvillettes, Laurent

TI - Formal passage from kinetic theory to incompressible Navier–Stokes equations for a mixture of gases

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2014

PB - EDP-Sciences

VL - 48

IS - 4

SP - 1171

EP - 1197

AB - We present in this paper the formal passage from a kinetic model to the incompressible Navier−Stokes equations for a mixture of monoatomic gases with different masses. The starting point of this derivation is the collection of coupled Boltzmann equations for the mixture of gases. The diffusion coefficients for the concentrations of the species, as well as the ones appearing in the equations for velocity and temperature, are explicitly computed under the Maxwell molecule assumption in terms of the cross sections appearing at the kinetic level.

LA - eng

KW - kinetic theory; incompressible Navier–Stokes equations; hydrodynamic limits; incompressible Navier-Stokes equation; gas mixture; hydrodynamic limit; Boltzmann equations

UR - http://eudml.org/doc/273132

ER -

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