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Solution to the nonlinear boltzmann equation for maxwell models for nonisotropic initial conditions

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Abstract

The known solution to the spatially homogeneous nonlinear Boltzmann equation for Maxwell models in a series of Laguerre polynomials is extended to include nonisotropic initial conditions. Existence proofs for a class of solutions are supplied. The equations for the generalized (nonisotropic Laguerre) moments are derived in explicit form for two- and three-dimensional models. Further it is shown that the ordinary moments satisfy the same set of equations as the (Hermite) polynomial moments.

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Authors and Affiliations

  1. Institute for Theoretical Physics, Princetonplein 5, P. O. Box 80.006, 3508, TA Utrecht, The Netherlands

    E. M. Hendriks & T. M. Nieuwenhuizen

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  1. E. M. Hendriks
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  2. T. M. Nieuwenhuizen
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Hendriks, E.M., Nieuwenhuizen, T.M. Solution to the nonlinear boltzmann equation for maxwell models for nonisotropic initial conditions. J Stat Phys 29, 591–615 (1982). https://doi.org/10.1007/BF01342189

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  • DOI: https://doi.org/10.1007/BF01342189

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