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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 45 (1986), S. 561-588 
    ISSN: 1572-9613
    Keywords: Boltzmann equation ; normal solution ; singular perturbation ; secular terms
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A singular perturbation method is used to find the normal solutions of the Boltzmann equation with small Knudsen number. It is proved that the secular terms may be removed by improving the Hilbert expansion and the Enskog expansion.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 45 (1986), S. 589-610 
    ISSN: 1572-9613
    Keywords: Boltzmann equation ; “initial layer” ; relaxation ; singular perturbation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We extend our method of systematic removal of secular terms in a singular perturbation treatment of the Boltzmann equation with small Knudsen numbers to the initial layer. The requirement that the solution through the initial layer should connect smoothly to the normal solution removes an ambiguity noted in our previous paper. We show that removal of secular terms improves Grad's solution for the initial layer and reintroduces soundlike modes associated with higher moments, first found by Wang Chang and Uhlenbeck.
    Type of Medium: Electronic Resource
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