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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2023, Volume 510, Pages 33–38
DOI: https://doi.org/10.31857/S2686954323600064 (Mi danma377) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

The problem of the flow of one type of non-Newtonian fluid through the boundary of a multi-connected domain

V. G. Zvyagin, V. P. Orlov

Voronezh State University, Voronezh, Russia
Citations (2)
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DOI: https://doi.org/10.31857/S2686954323600064
Abstract: In this paper, the existence of a weak solution of the initial boundary value problem for the equations of motion of a viscoelastic non-newtonian fluid in a multi-connected domain with memory along the trajectories of a non-smooth velocity field and an inhomogeneous boundary condition. The study assumes the approximation of the original problem by Galerkin-type approximations followed by a passage to the limit based on a priori estimates. The theory of regular Lagrangian flows is used to study the behavior of trajectories of a non-smooth velocity field.
Keywords: viscoelastic continuous medium, multi-connected domain, inhomogeneous boundary condition, a priori estimates, weak solution, regular Lagrangian flow.
Funding agency Grant number
Russian Science Foundation 22-11-00103
This work was supported by the Russian Science Foundation, grant no. 22-11-00103.
Presented: B. S. Kashin
Received: 05.02.2023
Revised: 17.03.2023
Accepted: 22.03.2023
English version:
Doklady Mathematics, 2023, Volume 107, Issue 2, Pages 112–116
DOI: https://doi.org/10.1134/S1064562423700722
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: V. G. Zvyagin, V. P. Orlov, “The problem of the flow of one type of non-Newtonian fluid through the boundary of a multi-connected domain”, Dokl. RAN. Math. Inf. Proc. Upr., 510 (2023), 33–38; Dokl. Math., 107:2 (2023), 112–116
Citation in format AMSBIB
\Bibitem{ZvyOrl23}
\by V.~G.~Zvyagin, V.~P.~Orlov
\paper The problem of the flow of one type of non-Newtonian fluid through the boundary of a multi-connected domain
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2023
\vol 510
\pages 33--38
\mathnet{http://mi.mathnet.ru/danma377}
\crossref{https://doi.org/10.31857/S2686954323600064}
\elib{https://elibrary.ru/item.asp?id=53986709}
\transl
\jour Dokl. Math.
\yr 2023
\vol 107
\issue 2
\pages 112--116
\crossref{https://doi.org/10.1134/S1064562423700722}
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    • This publication is cited in the following 2 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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