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Approximate Solutions of the Boltzmann Equation with Infinitely Many Modes

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Ukrainian Mathematical Journal Aims and scope

For the nonlinear kinetic Boltzmann equation in the case of a model of hard spheres, we construct its approximate solution in the form of a series of Maxwellian distributions with coefficient functions of the space coordinate and time. We establish sufficient conditions for the coefficient functions and the values of hydrodynamic parameters appearing in the distribution that enable us to make the analyzed deviation arbitrarily small.

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Author information

Authors and Affiliations

  1. Karazin Kharkiv National University, Kharkiv, Ukraine

    V. D. Hordevs’kyi

  2. Verkin Institute for Low-Temperature Physics and Engineering, Kharkiv, Ukraine

    O. O. Hukalov

Authors
  1. V. D. Hordevs’kyi
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  2. O. O. Hukalov
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Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 3, pp. 311–323, March, 2017.

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Hordevs’kyi, V.D., Hukalov, O.O. Approximate Solutions of the Boltzmann Equation with Infinitely Many Modes. Ukr Math J 69, 361–375 (2017). https://doi.org/10.1007/s11253-017-1369-8

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  • DOI: https://doi.org/10.1007/s11253-017-1369-8

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