A. M. Blokhin, D. L. Tkachev, A. V. Yegitov, “Linear instability of the solutions in mathematical model that describe flows of polymer in an infinite channel”, Yakutian Mathematical Journal, 2015, Volume 22, Issue 2,Pages <nobr>16

Mathematics

Linear instability of the solutions in mathematical model that describe flows of polymer in an infinite channel

A. M. Blokhin^ab, D. L. Tkachev^ba, A. V. Yegitov^a

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University

Abstract: We study new rheological model describing the flow of incompressible viscoelastic polymer fluid. The theorem about linear instability (by Lyapunov) of Poiseuille flow analogue for Navier - Stocks equation system was proven in infinite plane chanel.

Keywords: incompressible viscoelastic polymer fluid, rheological correlation, Brownian particle, dumbbell, Poiseuille type soultions, correctness of mixed problem, linear instability.

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

Received: 30.08.2015