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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 11, Pages 1859–1876
DOI: https://doi.org/10.31857/S0044466923110297 (Mi zvmmf11651) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Partial Differential Equations

On weak solvability of a flow problem for viscoelastic fluid with memory

V. G. Zvyagin, V. P. Orlov

Voronezh State University, 394018, Voronezh, Russia
Full-text PDF Citations (2)
DOI: https://doi.org/10.31857/S0044466923110297
Abstract: The existence of weak solutions of the initial-boundary value problem for the equations of motion of a viscoelastic fluid with memory along trajectories of a nonsmooth velocity field and with an inhomogeneous boundary condition is proved. The study relies on Galerkin-type approximations of the original problem followed by passage to the limit based on a priori estimates. The theory of regular Lagrangian flows is used to examine the behavior of trajectories of a nonsmooth velocity field.
Key words: viscoelastic fluid, inhomogeneous conditions, 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, project no. 22-11-00103.
Received: 14.01.2023
Revised: 14.01.2023
Accepted: 25.07.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 11, Pages 2090–2106
DOI: https://doi.org/10.1134/S0965542523110209
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: V. G. Zvyagin, V. P. Orlov, “On weak solvability of a flow problem for viscoelastic fluid with memory”, Zh. Vychisl. Mat. Mat. Fiz., 63:11 (2023), 1859–1876; Comput. Math. Math. Phys., 63:11 (2023), 2090–2106
Citation in format AMSBIB
\Bibitem{ZvyOrl23}
\by V.~G.~Zvyagin, V.~P.~Orlov
\paper On weak solvability of a flow problem for viscoelastic fluid with memory
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 11
\pages 1859--1876
\mathnet{http://mi.mathnet.ru/zvmmf11651}
\crossref{https://doi.org/10.31857/S0044466923110297}
\elib{https://elibrary.ru/item.asp?id=54720594}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 11
\pages 2090--2106
\crossref{https://doi.org/10.1134/S0965542523110209}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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