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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| Date: | 2020 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2020
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| 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| 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. |
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| DOI: | 10.37863/umzh.v72i11.760 |