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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Datum:2020
Hauptverfasser: Gordevskyy, V. D., Hukalov , O. O., Гордевський, В. Д., Гукалов, О. О.
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2020
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/760
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung: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