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  • 1
    Electronic Resource
    Electronic Resource
    Discretized Boltzmann equation: Lattice limit and non-Maxwellian gases (1979)
    Springer
    Journal of statistical physics 21 (1979), S. 649-657 
    Details
    ISSN: 1572-9613
    Keywords: Boltzmann equation ; finite-difference approximation ; lattice limit ; global solutions ; non-Maxwellian gases
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We continue the study of a discrete model of the Boltzmann equation, in which the spatial variable is replaced by a finite periodic lattice. Using a weak compactness criterion forL 1, the existence of a lattice limit as the lattice spacing tends to zero is proved. The case of unbounded collision kernels (non-Maxwellian gases) is also treated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01107907
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Global solutions of the Boltzmann equation on a lattice (1979)
    Springer
    Journal of statistical physics 20 (1979), S. 449-462 
    Details
    ISSN: 1572-9613
    Keywords: Boltzmann equation ; partial differential equations ; global solutions ; mild solutions ; lattice ; semigroup
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The nonlinear Boltzmann equation with a discretized spatial variable is studied in a Banach space of absolutely integrable functions of the velocity variables. Conservation laws and positivity are utilized to extend weak local solutions to a global solution. This is shown to be a strong solution by analytic semigroup techniques.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01011781
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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