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

DOI10.1051/m2an/2013135zbMath1301.82046OpenAlexW1986185857MaRDI QIDQ2877719

Marzia Bisi, Laurent Desvillettes

Publication date: 25 August 2014

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2013135

zbMATH Keywords

hydrodynamic limitkinetic theorygas mixtureincompressible Navier-Stokes equationBoltzmann equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Navier-Stokes equations (35Q30) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (6)

Stability of the Maxwell-Stefan system in the diffusion asymptotics of the Boltzmann multi-species equation ⋮ Rigorous derivation of the Fick cross-diffusion system from the multi-species Boltzmann equation in the diffusive scaling ⋮ The Vlasov-Poisson-Boltzmann system for a disparate mass binary mixture ⋮ Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations ⋮ On the Boltzmann gas mixture equation: linking the kinetic and fluid regimes ⋮ The Maxwell-Stefan diffusion limit for a kinetic model of mixtures

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