A. M. Blokhin, D. L. Tkachev, “Linear asymptotic instability of a stationary flow of a polymeric medium in a plane channel in the case of periodic perturbations”, Sib. Zh. Ind. Mat., 2014, Volume 17, Number 3,Pages <nobr>13

This article is cited in 23 papers

Linear asymptotic instability of a stationary flow of a polymeric medium in a plane channel in the case of periodic perturbations

A. M. Blokhin^ab, D. L. Tkachev^ab

^a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
^b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk

Abstract: We study the linear stability of a stationary flow of an incompressible viscoelastic polymeric fluid in a plane infinite channel in the case of periodic perturbations with respect to a variable related to the length of the channel.

Keywords: polymer, rheological relation, stationary solution, Poiseuille flow, well-posedness, spectrum, Lyapunov stability.

UDC: 517.958+517.956.3+539.3+544.275.7

Received: 11.03.2014