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Sibirskii Zhurnal Industrial'noi Matematiki, 2020, Volume 23, Number 1, Pages 16–27
DOI: https://doi.org/10.33048/SIBJIM.2020.23.103 (Mi sjim1074) 		 
Derivation of linear and nonlinear acoustic systems for an incompressible viscoelastic polymer fluid

A. M. Blokhina, A. Yu. Goldinb

a Sobolev Institute of Mathematics, pr. Acad. Koptyuga 4, Novosibirsk 630090, Russia
b Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090, Russia
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DOI: https://doi.org/10.33048/SIBJIM.2020.23.103
Abstract: Under discussion is the the so-called acoustic systems (in linear and nonlinear cases) for the system of equations describing the movement of incompressible viscoelastic polymer fluid. We also consider some approximations of these systems.
Keywords: acoustic systems, small perturbations, the state of rest, polymer fluid.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00791_а
19-01-00261
The authors were supported by the Russian Foundation for Basic Research (projects nos. 17-01-00791 and 19-01-00261).
Received: 25.07.2019
Revised: 25.07.2019
Accepted: 05.09.2019
English version:
Journal of Applied and Industrial Mathematics, 2020, Volume 14, Issue 1, Pages 9–19
DOI: https://doi.org/10.1134/S1990478920010032
Document Type: Article
UDC: 517.958:539.3(6):517.968.72:517.956.3:517.957
Language: Russian
Citation: A. M. Blokhin, A. Yu. Goldin, “Derivation of linear and nonlinear acoustic systems for an incompressible viscoelastic polymer fluid”, Sib. Zh. Ind. Mat., 23:1 (2020), 16–27; J. Appl. Industr. Math., 14:1 (2020), 9–19
Citation in format AMSBIB
\Bibitem{BloGol20}
\by A.~M.~Blokhin, A.~Yu.~Goldin
\paper Derivation of linear and nonlinear acoustic systems for an incompressible viscoelastic polymer fluid
\jour Sib. Zh. Ind. Mat.
\yr 2020
\vol 23
\issue 1
\pages 16--27
\mathnet{http://mi.mathnet.ru/sjim1074}
\crossref{https://doi.org/10.33048/SIBJIM.2020.23.103}
\transl
\jour J. Appl. Industr. Math.
\yr 2020
\vol 14
\issue 1
\pages 9--19
\crossref{https://doi.org/10.1134/S1990478920010032}
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