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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 5, Pages 850–875
DOI: https://doi.org/10.7868/S0044466915050075 (Mi zvmmf10209) 		 
This article is cited in 29 scientific papers (total in 29 papers)

Linear instability of solutions in a mathematical model describing polymer flows in an infinite channel

A. M. Blokhinab, A. V. Yegitovba, D. L. Tkachevba

a Novosibirsk State University, Pirogova st. 2, Novosibirsk, 630090, Russia
b Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Koptyug av. 4, Novosibirsk, 630090, Russia
Full-text PDF (345 kB) Citations (29)
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DOI: https://doi.org/10.7868/S0044466915050075
Abstract: A new rheological model describing flows of incompressible viscoelastic polymer fluid is studied. Lyapunov’s linear instability of the Poiseuille flow counterpart for the Navier–Stokes equations in a plane infinite channel is proven.
Key words: incompressible viscoelastic polymer fluid, rheological relationship, Brownian particle, dumbbell, Poiseuille solution, well-posedness of mixed problem, linear instability of solutions.
Received: 19.06.2013
Revised: 26.06.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 5, Pages 848–873
DOI: https://doi.org/10.1134/S0965542515050073
Bibliographic databases:
Document Type: Article
UDC: 519.634
MSC: Primary 76A10; Secondary 35Q35, 82D60
Language: Russian
Citation: A. M. Blokhin, A. V. Yegitov, D. L. Tkachev, “Linear instability of solutions in a mathematical model describing polymer flows in an infinite channel”, Zh. Vychisl. Mat. Mat. Fiz., 55:5 (2015), 850–875; Comput. Math. Math. Phys., 55:5 (2015), 848–873
Citation in format AMSBIB
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    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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