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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 3, Pages 437–441
DOI: https://doi.org/10.31857/S0044466922020119 (Mi zvmmf11372) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Partial Differential Equations

The Avalos–Triggiani problem for the linear Oskolkov system and a system of wave equations

G. A. Sviridyuka, T. G. Sukachevaab

a South Ural State University, 454080, Chelyabinsk, Russia
b Yaroslav-the-Wise Novgorod State University, 173003, Veliky Novgorod, Russia
Citations (5)
DOI: https://doi.org/10.31857/S0044466922020119
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.
Key words: Avalos–Triggiani problem, incompressible viscoelastic fluid, linear Oskolkov system.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation FENU-2020-0022
This work was supported in part by the Ministry of Science and Higher Education of the Russian Federation, grant no. FENU-2020-0022 (2020072GZ).
Received: 20.05.2021
Revised: 20.05.2021
Accepted: 12.10.2021
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 3, Pages 427–431
DOI: https://doi.org/10.1134/S0965542522020105
Bibliographic databases:
Document Type: Article
UDC: 517.954
Language: Russian
Citation: G. A. Sviridyuk, T. G. Sukacheva, “The Avalos–Triggiani problem for the linear Oskolkov system and a system of wave equations”, Zh. Vychisl. Mat. Mat. Fiz., 62:3 (2022), 437–441; Comput. Math. Math. Phys., 62:3 (2022), 427–431
Citation in format AMSBIB
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\paper The Avalos--Triggiani problem for the linear Oskolkov system and a system of wave equations
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\pages 437--441
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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