On the asymptotic analysis of the Boltzmann equation tending towards the Stokes equations

Applied Mathematics Letters ◽

10.1016/j.aml.2005.02.032 ◽

2005 ◽

Vol 18 (12) ◽

pp. 1400-1407 ◽

Author(s):

A. Bellouquid

Keyword(s):

Boltzmann Equation ◽

Asymptotic Analysis ◽

Stokes Equations ◽

The Boltzmann Equation

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The behavior of a vapor-gas mixture in the continuum limit: Asymptotic analysis based on the Boltzmann equation

10.1063/1.1407610 ◽

2001 ◽

Author(s):

Kazuo Aoki

Keyword(s):

Boltzmann Equation ◽

Asymptotic Analysis ◽

Continuum Limit ◽

Gas Mixture ◽

The Boltzmann Equation ◽

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From the Boltzmann equation to the incompressible Navier-Stokes equations

Recent Advances in Nonlinear Partial Differential Equations and Applications - Proceedings of Symposia in Applied Mathematics ◽

10.1090/psapm/065/2381879 ◽

2007 ◽

pp. 171-192

Author(s):

François Golse

Keyword(s):

Boltzmann Equation ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

The Boltzmann Equation

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Inappropriateness of the heat‐conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation

Physics of Fluids ◽

10.1063/1.868846 ◽

1996 ◽

Vol 8 (2) ◽

pp. 628-638 ◽

Author(s):

Yoshio Sone ◽

Kazuo Aoki ◽

Shigeru Takata ◽

Hiroshi Sugimoto ◽

A. V. Bobylev

Keyword(s):

Temperature Field ◽

Heat Conduction ◽

Boltzmann Equation ◽

Asymptotic Analysis ◽

Numerical Computation ◽

Heat Conduction Equation ◽

Continuum Limit ◽

Conduction Equation ◽

The Boltzmann Equation ◽

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THE GHOST EFFECT IN THE CONTINUUM LIMIT FOR A VAPOR–GAS MIXTURE AROUND CONDENSED PHASES: ASYMPTOTIC ANALYSIS OF THE BOLTZMANN EQUATION

Transport Theory and Statistical Physics ◽

10.1081/tt-100105368 ◽

2001 ◽

Vol 30 (2-3) ◽

pp. 205-237 ◽

Author(s):

Shigeru Takata ◽

Kazuo Aoki

Keyword(s):

Boltzmann Equation ◽

Asymptotic Analysis ◽

Continuum Limit ◽

Gas Mixture ◽

Condensed Phases ◽

The Boltzmann Equation ◽

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From the Boltzmann equation to the incompressible Navier–Stokes equations on the torus: A quantitative error estimate

Journal of Differential Equations ◽

10.1016/j.jde.2015.07.022 ◽

2015 ◽

Vol 259 (11) ◽

pp. 6072-6141 ◽

Author(s):

Marc Briant

Keyword(s):

Boltzmann Equation ◽

Error Estimate ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

The Boltzmann Equation

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Slow nonisothermal flows: Numerical and asymptotic analysis of the Boltzmann equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542517060112 ◽

2017 ◽

Vol 57 (7) ◽

pp. 1201-1224 ◽

Author(s):

O. A. Rogozin

Keyword(s):

Boltzmann Equation ◽

Asymptotic Analysis ◽

The Boltzmann Equation ◽

Nonisothermal Flows ◽

Slow Nonisothermal Flows

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Asymptotic analysis of the Boltzmann equation for dark matter relic abundance

Journal of Cosmology and Astroparticle Physics ◽

10.1088/1475-7516/2021/07/024 ◽

2021 ◽

Vol 2021 (07) ◽

pp. 024

Author(s):

Logan A. Morrison ◽

Hiren H. Patel ◽

Jaryd F. Ulbricht

Keyword(s):

Dark Matter ◽

Boltzmann Equation ◽

Asymptotic Analysis ◽

The Boltzmann Equation ◽

Relic Abundance

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Erratum: ‘‘Inappropriateness of the heat‐conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation’’ [Phys. Fluids 8, 628 (1996)]

Physics of Fluids ◽

10.1063/1.869133 ◽

1996 ◽

Vol 8 (3) ◽

pp. 841-841 ◽

Author(s):

Yoshio Sone ◽

Kazuo Aoki ◽

Shigeru Takata ◽

Hiroshi Sugimoto ◽

A. V. Bobylev

Keyword(s):

Temperature Field ◽

Heat Conduction ◽

Boltzmann Equation ◽

Asymptotic Analysis ◽

Numerical Computation ◽

Heat Conduction Equation ◽

Continuum Limit ◽

Conduction Equation ◽

The Boltzmann Equation ◽

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Asymptotic analysis of the Boltzmann equation with very soft potentials from angular cutoff to non-cutoff

Communications in Mathematical Sciences ◽

10.4310/cms.2021.v19.n2.a1 ◽

2021 ◽

Vol 19 (2) ◽

pp. 287-324

Author(s):

Ling-Bing He ◽

Zheng-An Yao ◽

Yu-Long Zhou

Keyword(s):

Boltzmann Equation ◽

Asymptotic Analysis ◽

The Boltzmann Equation

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Asymptotic analysis of the Boltzmann equation for dark matter relics in the presence of a running dilaton and space-time defects

Physical Review D ◽

10.1103/physrevd.87.055021 ◽

2013 ◽

Vol 87 (5) ◽

Author(s):

Carl M. Bender ◽

Nick E. Mavromatos ◽

Sarben Sarkar

Keyword(s):

Dark Matter ◽

Boltzmann Equation ◽

Asymptotic Analysis ◽

The Boltzmann Equation

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