Effect of Time Delay of Support Propagation in Equations of Thin Films
We prove the existence of the effect of time delay of propagation of the support of “strong” solutions of the Cauchy problem for an equation of thin films and establish exact conditions on the behavior of an initial function near the free boundary that guarantee the appearance of this effect.
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| Datum: | 2003 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2003
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3969 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510101431910400 |
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| author | Taranets, R. M. Shishkov, A. E. Таранец, Р. М. Шишков, А. Е. Таранец, Р. М. Шишков, А. Е. |
| author_facet | Taranets, R. M. Shishkov, A. E. Таранец, Р. М. Шишков, А. Е. Таранец, Р. М. Шишков, А. Е. |
| author_sort | Taranets, R. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:17:28Z |
| description | We prove the existence of the effect of time delay of propagation of the support of “strong” solutions of the Cauchy problem for an equation of thin films and establish exact conditions on the behavior of an initial function near the free boundary that guarantee the appearance of this effect. |
| first_indexed | 2026-03-24T02:51:39Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3969 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:51:39Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/97/72df8b929930003a94c807ebd31c0297.pdf |
| spelling | umjimathkievua-article-39692020-03-18T20:17:28Z Effect of Time Delay of Support Propagation in Equations of Thin Films Эффект временной задержки распространения носителя в уравнениях тонких пленок Taranets, R. M. Shishkov, A. E. Таранец, Р. М. Шишков, А. Е. Таранец, Р. М. Шишков, А. Е. We prove the existence of the effect of time delay of propagation of the support of “strong” solutions of the Cauchy problem for an equation of thin films and establish exact conditions on the behavior of an initial function near the free boundary that guarantee the appearance of this effect. Доведено існування ефекту часової затримки розповсюдження носія „сильних" розв'язків задачі Коші для рівняння тонких плівок, встановлено точні умови на поведінку початкової функції біля вільної межі, які забезпечують виникнення цього ефекту. Institute of Mathematics, NAS of Ukraine 2003-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3969 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 7 (2003); 935-952 Український математичний журнал; Том 55 № 7 (2003); 935-952 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3969/4650 https://umj.imath.kiev.ua/index.php/umj/article/view/3969/4651 Copyright (c) 2003 Taranets R. M.; Shishkov A. E. |
| spellingShingle | Taranets, R. M. Shishkov, A. E. Таранец, Р. М. Шишков, А. Е. Таранец, Р. М. Шишков, А. Е. Effect of Time Delay of Support Propagation in Equations of Thin Films |
| title | Effect of Time Delay of Support Propagation in Equations of Thin Films |
| title_alt | Эффект временной задержки распространения носителя в уравнениях тонких пленок |
| title_full | Effect of Time Delay of Support Propagation in Equations of Thin Films |
| title_fullStr | Effect of Time Delay of Support Propagation in Equations of Thin Films |
| title_full_unstemmed | Effect of Time Delay of Support Propagation in Equations of Thin Films |
| title_short | Effect of Time Delay of Support Propagation in Equations of Thin Films |
| title_sort | effect of time delay of support propagation in equations of thin films |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3969 |
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