Continual distribution for the Bryan – Pidduck equation

UDC 533.72 For a nonlinear kinetic Boltzmann equation, in the case of a rough spheres model, we construct an approximate solution in the form of a continual distribution with the global Maxwellians. We also obtain the sufficient conditions on the coefficient functions and the hydrodynamic parameters...

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Bibliographic Details
Date:2020
Main Authors: Gordevskyy, V. D., Hukalov , O. O., Гордевський, В. Д., Гукалов, О. О.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2020
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/760
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:UDC 533.72 For a nonlinear kinetic Boltzmann equation, in the case of a rough spheres model, we construct an approximate solution in the form of a continual distribution with the global Maxwellians. We also obtain the sufficient conditions on the coefficient functions and the hydrodynamic parameters, which are included in the distribution and make considered error arbitrarily small.
DOI:10.37863/umzh.v72i11.760