One version of the Linearized theory of nonstationary boundary-value problems with free boundary
We analyze the principle of linearization and linear boundary-value problems obtained by using this principle in the nonlinear theory of motion for a bounded volume of liquid with free surface subjected to the action of a nonstationary oscillating load. We formulate and study the problem of vibrocap...
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| Datum: | 1996 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1996
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5279 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511502453178368 |
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| author | Lukovsky, I. O. Timokha, A. N. Луковский, И. А. Тимоха, А. Н. Луковский, И. А. Тимоха, А. Н. |
| author_facet | Lukovsky, I. O. Timokha, A. N. Луковский, И. А. Тимоха, А. Н. Луковский, И. А. Тимоха, А. Н. |
| author_sort | Lukovsky, I. O. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:29:27Z |
| description | We analyze the principle of linearization and linear boundary-value problems obtained by using this principle in the nonlinear theory of motion for a bounded volume of liquid with free surface subjected to the action of a nonstationary oscillating load. We formulate and study the problem of vibrocapillary equilibrium state, spectral problems in the theory of linear waves, and problems of stability of equilibrium states, including the problem of bifurcation of equilibrium states. |
| first_indexed | 2026-03-24T03:13:55Z |
| format | Article |
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| id | umjimathkievua-article-5279 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:13:55Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/c9/1c685656c4e2292aef9272a2cc4020c9.pdf |
| spelling | umjimathkievua-article-52792020-03-18T21:29:27Z One version of the Linearized theory of nonstationary boundary-value problems with free boundary Об одном варианте линеаризованной теории нестационарных краевых задач со свободной границей Lukovsky, I. O. Timokha, A. N. Луковский, И. А. Тимоха, А. Н. Луковский, И. А. Тимоха, А. Н. We analyze the principle of linearization and linear boundary-value problems obtained by using this principle in the nonlinear theory of motion for a bounded volume of liquid with free surface subjected to the action of a nonstationary oscillating load. We formulate and study the problem of vibrocapillary equilibrium state, spectral problems in the theory of linear waves, and problems of stability of equilibrium states, including the problem of bifurcation of equilibrium states. Розглядаються принцип ліне арі за ції та отримані на його основі лінійні крайові задачі нелінійної теорії руху обмеженого об'єму рідини з вільною поверхнею, що знаходиться під впливом нестаціонарних вібраційних навантажень. Сформульовано та досліджено задачу про віброкапілярну форму рівноваги, спектральні проблеми теорії лінійних хвиль, проблеми стійкості (форм рівноваги, включаючи й задачу про біфуркації форм рівноваги. Institute of Mathematics, NAS of Ukraine 1996-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5279 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 6 (1996); 791-804 Український математичний журнал; Том 48 № 6 (1996); 791-804 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5279/7250 https://umj.imath.kiev.ua/index.php/umj/article/view/5279/7251 Copyright (c) 1996 Lukovsky I. O.; Timokha A. N. |
| spellingShingle | Lukovsky, I. O. Timokha, A. N. Луковский, И. А. Тимоха, А. Н. Луковский, И. А. Тимоха, А. Н. One version of the Linearized theory of nonstationary boundary-value problems with free boundary |
| title | One version of the Linearized theory of nonstationary boundary-value problems with free boundary |
| title_alt | Об одном варианте линеаризованной теории нестационарных краевых задач со свободной границей |
| title_full | One version of the Linearized theory of nonstationary boundary-value problems with free boundary |
| title_fullStr | One version of the Linearized theory of nonstationary boundary-value problems with free boundary |
| title_full_unstemmed | One version of the Linearized theory of nonstationary boundary-value problems with free boundary |
| title_short | One version of the Linearized theory of nonstationary boundary-value problems with free boundary |
| title_sort | one version of the linearized theory of nonstationary boundary-value problems with free boundary |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5279 |
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