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ЖУРНАЛЫ // Журнал математической физики, анализа, геометрии // Архив

Журн. матем. физ., анал., геом., 2018, том 14, номер 1, страницы 54–66 (Mi jmag688)

The interaction of the Maxwell flows of general form for the Bryan–Pidduck model

O. A. Hukalova, V. D. Gordevskyyb

a B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Nauky Ave., Kharkiv, 61103, Ukraine
b V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61022, Ukraine

Аннотация: The interaction between the two Maxwell flows of general form in a gas of rough spheres is studied. The approximate solution of the Bryan–Pidduck equation describing the interaction is a bimodal distribution with specially selected coefficient functions. It is shown that under certain additional conditions imposed on these functions and hydrodynamic parameters of the flows, the norm of the difference between the parts of the Bryan–Pidduck equation can be arbitrarily small.

Ключевые слова и фразы: rough spheres, Bryan–Pidduck equation, error, Maxwellian flows, bimodal distribution, hydrodynamic parameters.

MSC: 76P05, 45K05, 82C40, 35Q55

Поступила в редакцию: 06.09.2016
Исправленный вариант: 02.12.2016

Язык публикации: английский

DOI: 10.15407/mag14.01.054



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