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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 6, Pages 1000–1005
DOI: https://doi.org/10.31857/S004446692306008X (Mi zvmmf11573) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Partial Differential Equations

On a class of exact solutions to the incompressible Navier–Stokes system in a ball and a spherical layer

V. A. Galkinab

a Surgut Branch, Scientific Research Institute for System Analysis, Russian Academy of Sciences, 628422, Surgut, Khanty-Mansi Autonomous Okrug (Yugra), Tyumen oblast, Russia
b Surgut State University, 628422, Surgut, Khanty-Mansi Autonomous Okrug (Yugra), Tyumen oblast, Russia
Full-text PDF Citations (7)
DOI: https://doi.org/10.31857/S004446692306008X
Abstract: A class of exact solutions to the Navier–Stokes equations for rotational incompressible flows is obtained. A three-parameter family of solutions in a ball, spherical layers, and the entire space $\mathbb{R}_3$ is constructed.
Key words: incompressible fluid equations, exact solutions, exact solutions of the Navier–Stokes system.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0580-2021-0007
This work was performed within the state assignment at the Surgut Branch of the Scientific Research Institute for System Analysis of the Russian Academy of Sciences (basic scientific research GP 47), subject no. 0580-2021-0007 “Development of methods for mathematical modeling of distributed systems and corresponding numerical methods”.
Received: 17.10.2022
Revised: 21.11.2022
Accepted: 13.01.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 6, Pages 1064–1069
DOI: https://doi.org/10.1134/S0965542523060088
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: V. A. Galkin, “On a class of exact solutions to the incompressible Navier–Stokes system in a ball and a spherical layer”, Zh. Vychisl. Mat. Mat. Fiz., 63:6 (2023), 1000–1005; Comput. Math. Math. Phys., 63:6 (2023), 1064–1069
Citation in format AMSBIB
\Bibitem{Gal23}
\by V.~A.~Galkin
\paper On a class of exact solutions to the incompressible Navier--Stokes system in a ball and a spherical layer
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 6
\pages 1000--1005
\mathnet{http://mi.mathnet.ru/zvmmf11573}
\crossref{https://doi.org/10.31857/S004446692306008X}
\elib{https://elibrary.ru/item.asp?id=53836702}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 6
\pages 1064--1069
\crossref{https://doi.org/10.1134/S0965542523060088}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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