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Journal of Computational and Engineering Mathematics, 2022, Volume 9, Issue 2, Pages 67–72
DOI: https://doi.org/10.14529/jcem220206 (Mi jcem216) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Computational Mathematics

The Avalos – Triggiani problem for the linear oskolkov system and a system of wave equaions. II

T. G. Sukachevaab, G. A. Sviridyuka

a South Ural State University, Chelyabinsk, Russian Federation
b Novgorod State University, Velikiy Novgorod, Russian Federation
Full-text PDF (163 kB) Citations (5)
DOI: https://doi.org/10.14529/jcem220206
Abstract: The Avalos – Triggiani problem for a system of wave equations and the linear Oskolkov system is investigated. The method proposed by G. Avalos and R. Triggiani is used to prove a theorem on the existence of a unique solution to the Avalos – Triggiani problem. The underlying mathematical model involves the linear Oskolkov system describing the flow of an incompressible viscoelastic Kelvin – Voigt fluid of zero order and a vector wave equation describing a structure immersed in the fluid.
Keywords: Avalos – Triggiani problem, incompressible viscoelastic fluid, linear Oskolkov system.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FENU-2020-0022 (2020072ГЗ)
This work was supported in part by the Ministry of Science and Higher Education of the Russian Federation, grant no. FENU-2020-0022 (2020072ГЗ).
Received: 18.05.2022
Document Type: Article
UDC: 517.958
Language: English
Citation: T. G. Sukacheva, G. A. Sviridyuk, “The Avalos – Triggiani problem for the linear oskolkov system and a system of wave equaions. II”, J. Comp. Eng. Math., 9:2 (2022), 67–72
Citation in format AMSBIB
\Bibitem{SukSvi22}
\by T.~G.~Sukacheva, G.~A.~Sviridyuk
\paper The Avalos -- Triggiani problem for the linear oskolkov system and a system of wave equaions. II
\jour J. Comp. Eng. Math.
\yr 2022
\vol 9
\issue 2
\pages 67--72
\mathnet{http://mi.mathnet.ru/jcem216}
\crossref{https://doi.org/10.14529/jcem220206}
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    Citing articles in Google Scholar: Russian citations, English citations
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