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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2020 Volume 23, Number 1, Pages 16–27 (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

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.

UDC: 517.958:539.3(6):517.968.72:517.956.3:517.957

Received: 25.07.2019
Revised: 25.07.2019
Accepted: 05.09.2019

DOI: 10.33048/SIBJIM.2020.23.103


 English version:
Journal of Applied and Industrial Mathematics, 2020, 14:1, 9–19


© Steklov Math. Inst. of RAS, 2025