The Interaction of the Maxwell Flows of General Form for the Bryan-Pidduck Model
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 con...
Збережено в:
| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/145858 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Interaction of the Maxwell Flows of General Form for the Bryan{Pidduck Model / O.O. Hukalov, V.D. Gordevskyy // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 1. — С. 54-66. — Бібліогр.: 12 назв. — англ. |
Репозитарії
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irk-123456789-1458582019-02-02T01:23:02Z The Interaction of the Maxwell Flows of General Form for the Bryan-Pidduck Model Hukalov, O.O. Gordevskyy, V.D. 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. Вивчається взаємодiя мiж двома максвеллiвськими потоками загального вигляду в газi iз шорсткуватих сфер. Наближений розв’язок рiвняння Брайана–Пiддака, яке описує цю взаємодiю, № бiмодальним розподiлом зi спецiально пiдiбраними коефiцiєнтними функцiями. Показано, що за певних додаткових умов, накладених на цi функцiї i на гiдродинамiчнi параметри потокiв, норма рiзницi мiж частинами рiвняння Брайана–Пiддака може бути якою завгодно малою. This work was partially supported by the NAS of Ukraine Project "Linear evolution equations in a Hilbert space and the Boltzmann equation". 2018 Article The Interaction of the Maxwell Flows of General Form for the Bryan{Pidduck Model / O.O. Hukalov, V.D. Gordevskyy // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 1. — С. 54-66. — Бібліогр.: 12 назв. — англ. 1812-9471 DOI: https://doi.org/10.15407/mag14.01.054 Mathematics Subject Classification 2010: 76P05, 45K05, 82C40, 35Q55 http://dspace.nbuv.gov.ua/handle/123456789/145858 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Hukalov, O.O. Gordevskyy, V.D. |
| spellingShingle |
Hukalov, O.O. Gordevskyy, V.D. The Interaction of the Maxwell Flows of General Form for the Bryan-Pidduck Model Журнал математической физики, анализа, геометрии |
| author_facet |
Hukalov, O.O. Gordevskyy, V.D. |
| author_sort |
Hukalov, O.O. |
| title |
The Interaction of the Maxwell Flows of General Form for the Bryan-Pidduck Model |
| title_short |
The Interaction of the Maxwell Flows of General Form for the Bryan-Pidduck Model |
| title_full |
The Interaction of the Maxwell Flows of General Form for the Bryan-Pidduck Model |
| title_fullStr |
The Interaction of the Maxwell Flows of General Form for the Bryan-Pidduck Model |
| title_full_unstemmed |
The Interaction of the Maxwell Flows of General Form for the Bryan-Pidduck Model |
| title_sort |
interaction of the maxwell flows of general form for the bryan-pidduck model |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2018 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/145858 |
| citation_txt |
The Interaction of the Maxwell Flows of General Form for the Bryan{Pidduck Model / O.O. Hukalov, V.D. Gordevskyy // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 1. — С. 54-66. — Бібліогр.: 12 назв. — англ. |
| series |
Журнал математической физики, анализа, геометрии |
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