The Incompressible Navier­Stokes for the Nonlinear Discrete Velocity Models

DOI10.2991/jnmp.2002.9.4.4zbMath1013.76070arXivnlin/0306036OpenAlexW2165750535MaRDI QIDQ4780620

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Publication date: 20 November 2002

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0306036

zbMATH Keywords

convergenceiterative procedureincompressible Navier-Stokes equationsHilbert spacesdiscrete Boltzmann equationdiscrete velocity modelglobal Maxwellianone-dimensional Broadwell modelCarleman modelprinciple of contraction mappings

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Foundations of fluid mechanics (76A02)

Related Items (3)

ON THE ASYMPTOTIC ANALYSIS OF KINETIC MODELS TOWARDS THE COMPRESSIBLE EULER AND ACOUSTIC EQUATIONS ⋮ From microscopic to macroscopic models: Asymptotic analysis of the Broadwell model toward the wave equation ⋮ On the asymptotic analysis of the Boltzmann equation tending towards the Stokes equations

Cites Work

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• Shock Structure in a Simple Discrete Velocity Gas
• From the Boltzmann equations to the equations of incompressible fluid mechanics. I, II

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