Hyperbolic stefan problem in a curvilinear sector
The problem with unknown boundaries for a first-order semilinear hyperbolic system is studied in the case where the curve of definition of the initial conditions degenerates to a point. An existence and uniqueness theorem for a classical solution of the problem is proved for small t.
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| Date: | 1997 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5173 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511377400004608 |
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| author | Berehova, H. I. Kirilich, V. M. Берегова, Г. І. Кирилич, В. М. |
| author_facet | Berehova, H. I. Kirilich, V. M. Берегова, Г. І. Кирилич, В. М. |
| author_sort | Berehova, H. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:26:15Z |
| description | The problem with unknown boundaries for a first-order semilinear hyperbolic system is studied in the case where the curve of definition of the initial conditions degenerates to a point. An existence and uniqueness theorem for a classical solution of the problem is proved for small t. |
| first_indexed | 2026-03-24T03:11:55Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5173 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:11:55Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f2/fa9638c49f55ef1576ac6ab6c40b45f2.pdf |
| spelling | umjimathkievua-article-51732020-03-18T21:26:15Z Hyperbolic stefan problem in a curvilinear sector Гіперболічна задача Стефана в криволінійному секторі Berehova, H. I. Kirilich, V. M. Берегова, Г. І. Кирилич, В. М. The problem with unknown boundaries for a first-order semilinear hyperbolic system is studied in the case where the curve of definition of the initial conditions degenerates to a point. An existence and uniqueness theorem for a classical solution of the problem is proved for small t. Розглядається задача з невідомими границями для иапівліиійної гіперболічної системи рівнянь першого порядку у випадку виродження в точку лінії задання початкових умов, задаються інтегральні граничні умови. Доводиться теорема існування та єдиності класичного розв'язку задачі для малих t. Institute of Mathematics, NAS of Ukraine 1997-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5173 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 12 (1997); 1684–1689 Український математичний журнал; Том 49 № 12 (1997); 1684–1689 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5173/7042 https://umj.imath.kiev.ua/index.php/umj/article/view/5173/7043 Copyright (c) 1997 Berehova H. I.; Kirilich V. M. |
| spellingShingle | Berehova, H. I. Kirilich, V. M. Берегова, Г. І. Кирилич, В. М. Hyperbolic stefan problem in a curvilinear sector |
| title | Hyperbolic stefan problem in a curvilinear sector |
| title_alt | Гіперболічна задача Стефана в криволінійному секторі |
| title_full | Hyperbolic stefan problem in a curvilinear sector |
| title_fullStr | Hyperbolic stefan problem in a curvilinear sector |
| title_full_unstemmed | Hyperbolic stefan problem in a curvilinear sector |
| title_short | Hyperbolic stefan problem in a curvilinear sector |
| title_sort | hyperbolic stefan problem in a curvilinear sector |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5173 |
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