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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 4, Pages 687–699
DOI: https://doi.org/10.31857/S0044466920040043
(Mi zvmmf11067)
 

On linear instability of the state of rest of an incompressible polymer fluid in the presence of strong discontinuity

A. M. Blokhinab, R. E. Semenkoab

a Novosibirsk State University, Novosibirsk, 630090 Russia
b Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
References:
Abstract: A linear problem of small perturbations of the flow of immiscible polymer fluids in a flat channel is formulated. For this problem, the existence of solutions unlimitedly increasing with time, the presence of which means linear instability of the state of rest of a polymer fluid with a strong discontinuity, is studied.
Key words: polymer fluid, state of rest, strong discontinuity.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00791А
Ministry of Education and Science of the Russian Federation 0314-2016-0013
This work was supported by the Russian Foundation for Basic Research (project no. 17-01-00791A) and by the Siberian Branch of the Russian Academy Sciences within Program of Fundamental Research I.1.5 (project no. 0314-2016-0013).
Received: 14.11.2019
Revised: 14.11.2019
Accepted: 16.12.2019
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 4, Pages 673–685
DOI: https://doi.org/10.1134/S0965542520040041
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: A. M. Blokhin, R. E. Semenko, “On linear instability of the state of rest of an incompressible polymer fluid in the presence of strong discontinuity”, Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020), 687–699; Comput. Math. Math. Phys., 60:4 (2020), 673–685
Citation in format AMSBIB
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    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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