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Sibirskii Zhurnal Industrial'noi Matematiki, 2014, Volume 17, Number 3, Pages 13–25 (Mi sjim842)  
This article is cited in 23 scientific papers (total in 23 papers)

Linear asymptotic instability of a stationary flow of a polymeric medium in a plane channel in the case of periodic perturbations

A. M. Blokhinab, D. L. Tkachevab

a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk
Full-text PDF (284 kB) Citations (23)
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Abstract: We study the linear stability of a stationary flow of an incompressible viscoelastic polymeric fluid in a plane infinite channel in the case of periodic perturbations with respect to a variable related to the length of the channel.
Keywords: polymer, rheological relation, stationary solution, Poiseuille flow, well-posedness, spectrum, Lyapunov stability.
Received: 11.03.2014
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 4, Pages 467–478
DOI: https://doi.org/10.1134/S1990478914040036
Bibliographic databases:
Document Type: Article
UDC: 517.958+517.956.3+539.3+544.275.7
Language: Russian
Citation: A. M. Blokhin, D. L. Tkachev, “Linear asymptotic instability of a stationary flow of a polymeric medium in a plane channel in the case of periodic perturbations”, Sib. Zh. Ind. Mat., 17:3 (2014), 13–25; J. Appl. Industr. Math., 8:4 (2014), 467–478
Citation in format AMSBIB
\Bibitem{BloTka14}
\by A.~M.~Blokhin, D.~L.~Tkachev
\paper Linear asymptotic instability of a~stationary flow of a~polymeric medium in a~plane channel in the case of periodic perturbations
\jour Sib. Zh. Ind. Mat.
\yr 2014
\vol 17
\issue 3
\pages 13--25
\mathnet{http://mi.mathnet.ru/sjim842}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3364402}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 4
\pages 467--478
\crossref{https://doi.org/10.1134/S1990478914040036}
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    • This publication is cited in the following 23 articles:
    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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