On the navier-stokes equation with the additional condition $u_1^1 = u^3 = 0$
We study the Navier-Stokes equation with the additional condition $u_1^1 = u^3 = 0$. In certain cases, solutions are represented in a closed form. In other cases, the investigated system reduces to simpler systems of partial differential equations. We study the symmetry properties of these systems a...
Збережено в:
| Дата: | 1996 |
|---|---|
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Українська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1996
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5222 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511434183540736 |
|---|---|
| author | Popovich, V. O. Popovich, R. O. Попович, В. О. Попович, Р. О. |
| author_facet | Popovich, V. O. Popovich, R. O. Попович, В. О. Попович, Р. О. |
| author_sort | Popovich, V. O. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:27:31Z |
| description | We study the Navier-Stokes equation with the additional condition $u_1^1 = u^3 = 0$. In certain cases, solutions are represented in a closed form. In other cases, the investigated system reduces to simpler systems of partial differential equations. We study the symmetry properties of these systems and construct classes of their particular solutions. |
| first_indexed | 2026-03-24T03:12:50Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5222 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:12:50Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d4/0a99b4a1e72052edef8da52dc49ccfd4.pdf |
| spelling | umjimathkievua-article-52222020-03-18T21:27:31Z On the navier-stokes equation with the additional condition $u_1^1 = u^3 = 0$ Про рівняння Нав'є - Стокса з додатковою умовою $u_1^1 = u^3 = 0$ Popovich, V. O. Popovich, R. O. Попович, В. О. Попович, Р. О. We study the Navier-Stokes equation with the additional condition $u_1^1 = u^3 = 0$. In certain cases, solutions are represented in a closed form. In other cases, the investigated system reduces to simpler systems of partial differential equations. We study the symmetry properties of these systems and construct classes of their particular solutions. Проведено дослідження рівнянь Нав'є — Стокса при додатковій умові $u_1^1 = u^3 = 0$. В деяких випадках розв'язки зображені в замкненій формі. В інших випадках досліджувана система зведена до більш простих систем диференціальних рівнянь в частинних похідних (ДРЧП), для яких (після вивчення симетрійиих властивостей) побудовані класи часткових розв'язків. Institute of Mathematics, NAS of Ukraine 1996-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5222 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 10 (1996); 1363-1374 Український математичний журнал; Том 48 № 10 (1996); 1363-1374 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5222/7138 https://umj.imath.kiev.ua/index.php/umj/article/view/5222/7139 Copyright (c) 1996 Popovich V. O.; Popovich R. O. |
| spellingShingle | Popovich, V. O. Popovich, R. O. Попович, В. О. Попович, Р. О. On the navier-stokes equation with the additional condition $u_1^1 = u^3 = 0$ |
| title | On the navier-stokes equation with the additional condition $u_1^1 = u^3 = 0$ |
| title_alt | Про рівняння Нав'є - Стокса з додатковою умовою $u_1^1 = u^3 = 0$ |
| title_full | On the navier-stokes equation with the additional condition $u_1^1 = u^3 = 0$ |
| title_fullStr | On the navier-stokes equation with the additional condition $u_1^1 = u^3 = 0$ |
| title_full_unstemmed | On the navier-stokes equation with the additional condition $u_1^1 = u^3 = 0$ |
| title_short | On the navier-stokes equation with the additional condition $u_1^1 = u^3 = 0$ |
| title_sort | on the navier-stokes equation with the additional condition $u_1^1 = u^3 = 0$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5222 |
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