Asymptotics of a parabolic problem with a nonsmooth angular function of the boundary layer
UDC 517.9 We construct asymptotic approximations for solving a parabolic problem with nonsmooth angular function of the boundary layer in the case where the perturbation is singular. Unlike the works studied earlier, our algorithm is simple. By choosing a proper regularizin...
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| Datum: | 2025 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2025
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8152 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512933681823744 |
|---|---|
| author | Omuraliev, Asan Abylaeva, Ella Omuraliev, Asan Abylaeva, Ella Abylaeva, Ella |
| author_facet | Omuraliev, Asan Abylaeva, Ella Omuraliev, Asan Abylaeva, Ella Abylaeva, Ella |
| author_sort | Omuraliev, Asan |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-11-01T09:34:40Z |
| description | UDC 517.9
We construct asymptotic approximations for solving a parabolic problem with nonsmooth angular function of the boundary layer in the case where the perturbation is singular. Unlike the works studied earlier, our algorithm is simple. By choosing a proper regularizing function, we managed to simplify the asymptotic structure of the solution and the construction algorithm. The obtained asymptotics contain only three boundary-layer functions. At the same time, the asymptotics of the solutions constructed earlier contain five boundary-layer components. |
| doi_str_mv | 10.3842/umzh.v77i1.8152 |
| first_indexed | 2026-03-24T03:36:40Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-8152 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:36:40Z |
| publishDate | 2025 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-81522025-11-01T09:34:40Z Asymptotics of a parabolic problem with a nonsmooth angular function of the boundary layer Asymptotics of a parabolic problem with a nonsmooth angular function of the boundary layer Omuraliev, Asan Abylaeva, Ella Omuraliev, Asan Abylaeva, Ella Abylaeva, Ella asymptotics, parabolic problem, boundary layer, nonsmooth terms. partial differential eqations UDC 517.9 We construct asymptotic approximations for solving a parabolic problem with nonsmooth angular function of the boundary layer in the case where the perturbation is singular. Unlike the works studied earlier, our algorithm is simple. By choosing a proper regularizing function, we managed to simplify the asymptotic structure of the solution and the construction algorithm. The obtained asymptotics contain only three boundary-layer functions. At the same time, the asymptotics of the solutions constructed earlier contain five boundary-layer components. УДК 517.9 Асимптотика параболічної задачі з негладкою кутовою функцією примежового шару Побудовано асимптотичні наближення для розв'язання параболічної задачі з негладкою кутовою функцією примежового шару, де збурення є сингулярним. На відміну від робіт, розглянутих раніше, наш алгоритм є простим. За рахунок вибору регуляризуючої функції вдалося спростити структуру асимптотики розв'язку та алгоритм побудови. Побудовані асимптотики складаються лише з трьох функцій примежового шару.  Для порівняння, асимптотики розв'язку, побудовані раніше, містять п'ять компонент примежового шару. Institute of Mathematics, NAS of Ukraine 2025-10-31 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8152 10.3842/umzh.v77i1.8152 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 1 (2025); 75 Український математичний журнал; Том 77 № 1 (2025); 75 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8152/10297 Copyright (c) 2025 Ella Abylaeva |
| spellingShingle | Omuraliev, Asan Abylaeva, Ella Omuraliev, Asan Abylaeva, Ella Abylaeva, Ella Asymptotics of a parabolic problem with a nonsmooth angular function of the boundary layer |
| title | Asymptotics of a parabolic problem with a nonsmooth angular function of the boundary layer |
| title_alt | Asymptotics of a parabolic problem with a nonsmooth angular function of the boundary layer |
| title_full | Asymptotics of a parabolic problem with a nonsmooth angular function of the boundary layer |
| title_fullStr | Asymptotics of a parabolic problem with a nonsmooth angular function of the boundary layer |
| title_full_unstemmed | Asymptotics of a parabolic problem with a nonsmooth angular function of the boundary layer |
| title_short | Asymptotics of a parabolic problem with a nonsmooth angular function of the boundary layer |
| title_sort | asymptotics of a parabolic problem with a nonsmooth angular function of the boundary layer |
| topic_facet | asymptotics parabolic problem boundary layer nonsmooth terms. partial differential eqations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8152 |
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