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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 10, Pages 1752–1768
DOI: https://doi.org/10.1134/S0044466919100041 (Mi zvmmf10970) 		 
To the stability of a plane strong discontinuity with a polymer fluid flow through it with allowance for anisotropy

A. M. Blokhinab, R. E. Semenkoab

a Novosibirsk State University, Novosibirsk, 630090 Russia
b Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
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DOI: https://doi.org/10.1134/S0044466919100041
Abstract: The stability of the flow of an incompressible polymer fluid with a strong discontinuity when the fluid can flow through the discontinuity is discussed. Particular solutions of the linearized problem that increase with time are constructed numerically.
Key words: linear system, stability of a strong discontinuity, particular solutions of the linearized problem.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00791_а
Siberian Branch of Russian Academy of Sciences 0314-2016-0013
This work was supported by the Russian Foundation for Basic Research (project no. 17-01-00791 A) and by the basic research program no. I.1.5 of the Siberian Branch of the Russian Academy of Science (project no. 0314-2016-0013).
Received: 12.03.2018
Revised: 12.03.2018
Accepted: 19.03.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 10, Pages 1693–1709
DOI: https://doi.org/10.1134/S096554251910004X
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: A. M. Blokhin, R. E. Semenko, “To the stability of a plane strong discontinuity with a polymer fluid flow through it with allowance for anisotropy”, Zh. Vychisl. Mat. Mat. Fiz., 59:10 (2019), 1752–1768; Comput. Math. Math. Phys., 59:10 (2019), 1693–1709
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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