Fundamental solutions of the Stokes system in quaternion analysis
UDC 532.5 The method of quaternionic analysis in fluid mechanics was  developed by several generations of mathematicians with numerous important results.  We add a small result in this direction.  Thus, we introduce a new reformulation...
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| Datum: | 2026 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/6510 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512420975345664 |
|---|---|
| author | Dinh, Doan Cong Dinh, Doan Cong |
| author_facet | Dinh, Doan Cong Dinh, Doan Cong |
| author_sort | Dinh, Doan Cong |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-02-23T13:26:53Z |
| description | UDC 532.5
The method of quaternionic analysis in fluid mechanics was  developed by several generations of mathematicians with numerous important results.  We add a small result in this direction.  Thus, we introduce a new reformulation of fundamental solutions of the Stokes system within the framework of quaternion analysis and construct integral representations for its solutions. |
| doi_str_mv | 10.37863/umzh.v74i11.6510 |
| first_indexed | 2026-03-24T03:28:31Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-6510 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:28:31Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/0f/c6a5b19a4b161959f54dbd7aa598350f |
| spelling | umjimathkievua-article-65102026-02-23T13:26:53Z Fundamental solutions of the Stokes system in quaternion analysis Fundamental solutions of the Stokes system in quaternion analysis Dinh, Doan Cong Dinh, Doan Cong Stokes system; Fundamental solution; Quaternion analysis; Integral representation 35Q35; 30G35; 35C15 UDC 532.5 The method of quaternionic analysis in fluid mechanics was  developed by several generations of mathematicians with numerous important results.  We add a small result in this direction.  Thus, we introduce a new reformulation of fundamental solutions of the Stokes system within the framework of quaternion analysis and construct integral representations for its solutions. УДК 532.5 Фундаментальні розв’язки системи Стокса у кватерніонному аналізі Метод кватерніонного аналізу в механіці рідин був розроблений кількома поколіннями математиків, і було отримано багато важливих результатів.  У даній статті додано один невеликий результат у цьому напрямку.  Так, наведено нове переформулювання фундаментальних розв’язків системи Стокса в рамках кватерніонного аналізу та побудовано інтегральні  зображення її розв’язків. Institute of Mathematics, NAS of Ukraine 2026-02-22 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/6510 10.37863/umzh.v74i11.6510 Ukrains’kyi Matematychnyi Zhurnal; Vol. 74 No. 11 (2022); 1492 - 1505 Український математичний журнал; Том 74 № 11 (2022); 1492 - 1505 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/6510/9329 Copyright (c) 2022 Cong Dinh Doan |
| spellingShingle | Dinh, Doan Cong Dinh, Doan Cong Fundamental solutions of the Stokes system in quaternion analysis |
| title | Fundamental solutions of the Stokes system in quaternion analysis |
| title_alt | Fundamental solutions of the Stokes system in quaternion analysis |
| title_full | Fundamental solutions of the Stokes system in quaternion analysis |
| title_fullStr | Fundamental solutions of the Stokes system in quaternion analysis |
| title_full_unstemmed | Fundamental solutions of the Stokes system in quaternion analysis |
| title_short | Fundamental solutions of the Stokes system in quaternion analysis |
| title_sort | fundamental solutions of the stokes system in quaternion analysis |
| topic_facet | Stokes system Fundamental solution Quaternion analysis Integral representation 35Q35 30G35 35C15 |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/6510 |
| work_keys_str_mv | AT dinhdoancong fundamentalsolutionsofthestokessysteminquaternionanalysis AT dinhdoancong fundamentalsolutionsofthestokessysteminquaternionanalysis |