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Sbornik: Mathematics, 2022, Volume 213, Issue 3, Pages 283–299
DOI: https://doi.org/10.1070/SM9507 (Mi sm9507) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Lyapunov instability of stationary flows of a polymeric fluid in a channel with perforated walls

A. M. Blokhin, D. L. Tkachev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
English version PDF (535 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/SM9507
Abstract: The rheological Pokrovskii-Vinogradov model for flows of solutions or melts of an incompressible viscoelastic polymeric medium is studied in the case of flows in an infinite planar channel with perforated walls. The linear Lyapunov instability is proved for the base solution with constant flow rate in the class of perturbations periodic in the variable varying along the channel wall.
Bibliography: 14 titles.
Keywords: incompressible viscoelastic polymeric medium, rheological relation, infinite planar channel with perforated walls, base solution, linear Lyapunov instability.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0008
Russian Foundation for Basic Research 19-01-00261-а
This study was carried out within the state assignment of the Ministry of Science and Higher Education of the Russian Federation (project no. FWNF-2022-0008) and also was supported by the Russian Foundation for Basic Research (grant no. 19-01-00261-а).
Received: 23.09.2020 and 29.08.2021
Bibliographic databases:
Document Type: Article
MSC: Primary 35Q35; Secondary 76A10, 76T20
Language: English
Original paper language: Russian
Citation: A. M. Blokhin, D. L. Tkachev, “Lyapunov instability of stationary flows of a polymeric fluid in a channel with perforated walls”, Sb. Math., 213:3 (2022), 283–299
Citation in format AMSBIB
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\paper Lyapunov instability of stationary flows of a~polymeric fluid in a~channel with perforated walls
\jour Sb. Math.
\yr 2022
\vol 213
\issue 3
\pages 283--299
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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