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Continual Distribution for the Bryan–Pidduck Equation

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Ukrainian Mathematical Journal Aims and scope

For a nonlinear kinetic Boltzmann equation that describes the model of rough spheres, we construct its approximate solution in the form of a continual distribution with global Maxwellians. We establish sufficient conditions for the coefficient functions and hydrodynamic parameters appearing in the distribution, which enable one to make the analyzed error as small as desired.

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Authors and Affiliations

  1. V. Karazin Kharkiv National University, Kharkiv, Ukraine

    V. D. Gordevskyy

  2. B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Kharkiv, Ukraine

    O. O. Hukalov

Authors
  1. V. D. Gordevskyy
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  2. O. O. Hukalov
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Corresponding author

Correspondence to V. D. Gordevskyy.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 11, pp. 1487–1494, November, 2020. Ukrainian DOI: 10.37863/umzh.v72i11.760.

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Gordevskyy, V.D., Hukalov, O.O. Continual Distribution for the Bryan–Pidduck Equation. Ukr Math J 72, 1715–1723 (2021). https://doi.org/10.1007/s11253-021-01882-6

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  • DOI: https://doi.org/10.1007/s11253-021-01882-6

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