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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive
Zh. Vychisl. Mat. Mat. Fiz., 2014 Volume 54, Number 5, Pages 845–870 (Mi zvmmf10038)
This article is cited in 29 papers

Stationary solutions of equations of incompressible viscoelastic polymer liquid

N. V. Bambaevaa, A. M. Blokhinba

a Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
b Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Koptyuga 4, Novosibirsk, 630090, Russia

Abstract: The equations describing flows of an incompressible viscoelastic polymer liquid are studied. Stationary solutions similar to the Poiseuille and Couette solutions for the system of the Navier–Stokes equations are constructed. Stationary discontinuous solutions of the polymer liquid equation are also considered.

Key words: polymer medium, steady flows, stationary discontinuous solutions, Poiseuille and Couette solutions, Navier–Stokes equations.

UDC: 519.634

Received: 16.10.2012

DOI: 10.7868/S0044466914050068


 English version: Computational Mathematics and Mathematical Physics, 2014, 54:5, 845–870

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© Steklov Math. Inst. of RAS, 2025