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Sibirskii Zhurnal Industrial'noi Matematiki, 2017, Volume 20, Number 2, Pages 21–32
DOI: https://doi.org/10.17377/sibjim.2017.20.203 (Mi sjim955) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On weak solutions to evolution equations of viscoelastic fluid flows

E. S. Baranovskii

Voronezh State University, Universitetskaya pl., 1, 394036 Voronezh
Full-text PDF (265 kB) Citations (2)
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DOI: https://doi.org/10.17377/sibjim.2017.20.203
Abstract: We study the system of nonlinear equations describing unsteady flows of a viscoelastic fluid of Oldroyd type in a bounded three-dimensional domain with mixed boundary conditions. On one part of the boundary, the Navier slip condition is given, while on the other one, the no-slip condition is used. We prove the theorem on the existence, uniqueness, and energy estimates for weak solutions.
Keywords: initial boundary-value problem, weak solution, viscoelastic fluid, Oldroyd model, Navier slip boundary condition.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-00182 мол_а
Received: 01.02.2016
Revised: 29.11.2016
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 2, Pages 174–184
DOI: https://doi.org/10.1134/S199047891702003X
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: E. S. Baranovskii, “On weak solutions to evolution equations of viscoelastic fluid flows”, Sib. Zh. Ind. Mat., 20:2 (2017), 21–32; J. Appl. Industr. Math., 11:2 (2017), 174–184
Citation in format AMSBIB
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\by E.~S.~Baranovskii
\paper On weak solutions to evolution equations of viscoelastic fluid flows
\jour Sib. Zh. Ind. Mat.
\yr 2017
\vol 20
\issue 2
\pages 21--32
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\crossref{https://doi.org/10.17377/sibjim.2017.20.203}
\elib{https://elibrary.ru/item.asp?id=29116858}
\transl
\jour J. Appl. Industr. Math.
\yr 2017
\vol 11
\issue 2
\pages 174--184
\crossref{https://doi.org/10.1134/S199047891702003X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85019740700}
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  • https://www.mathnet.ru/eng/sjim955
  • https://www.mathnet.ru/eng/sjim/v20/i2/p21
    • This publication is cited in the following 2 articles:
    1. E. S. Baranovskii, “Steady flows of an Oldroyd fluid with threshold slip”, Commun. Pure Appl. Anal, 18:2 (2019), 735–750  crossref  mathscinet  zmath  isi  scopus
    2. E. S. Baranovskii, “On flows of viscoelastic fluids under threshold-slip boundary conditions”, International Conference Applied Mathematics, Computational Science and Mechanics: Current Problems, Journal of Physics Conference Series, 973, IOP Publishing Ltd, 2018, UNSP 012051  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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