Generalized Beltrami Fields. Exact Solutions Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2025, Volume: 66, Number: 5, Pages: 1235–1241 Pages count : 7 DOI: 10.1134/S0037446625050131 | ||
| Tags | generalized Beltrami fields, overdetermined systems of partial differential equations, compatibility conditions | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0009 |
Abstract:
We study generalized Beltrami fields defined as solutions to the system rotn A = λA,
where λ is a function and A = (P, Q, R) is a vector-valued function of the variables (x, y, z), n ∈ N.
For λ = 1 and arbitrary natural n, the system is reduced to a completely integrable form, with the
result depending on the parity of n. For n = 1 and an arbitrary function λ, the system is also reduced
to a completely integrable form.
Cite:
Neshchadim M.V.
Generalized Beltrami Fields. Exact Solutions
Siberian Mathematical Journal. 2025. V.66. N5. P.1235–1241. DOI: 10.1134/S0037446625050131 WOS Scopus РИНЦ
Generalized Beltrami Fields. Exact Solutions
Siberian Mathematical Journal. 2025. V.66. N5. P.1235–1241. DOI: 10.1134/S0037446625050131 WOS Scopus РИНЦ
Original:
Нещадим М.В.
Обобщенные поля Бельтрами. Точные решения
Сибирский математический журнал. 2025. Т.66. №5. С.929-936. DOI: 10.33048/smzh.2025.66.513
Обобщенные поля Бельтрами. Точные решения
Сибирский математический журнал. 2025. Т.66. №5. С.929-936. DOI: 10.33048/smzh.2025.66.513
Dates:
| Submitted: | Jan 25, 2025 |
| Accepted: | Mar 12, 2025 |
| Published print: | Sep 30, 2025 |
| Published online: | Sep 30, 2025 |
Identifiers:
| Web of science: | WOS:001585885200014 |
| Scopus: | 2-s2.0-105017705438 |
| Elibrary: | 82944336 |
Citing:
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