TY - JOUR

T1 - Stability of Poiseuille-type flows for an MHD model of an incompressible polymeric fluid

AU - Blokhin, A. M.

AU - Tkachev, D. L.

PY - 2019/12/1

Y1 - 2019/12/1

N2 - We study a new rheological model describing flows of melts and solutions of incompressible viscoelastic polymeric media in an external uniform magnetic field in the presence of a temperature drop and a conduction current. We derive an asymptotic representation of the spectrum of the linear problem resulting from the linearization of the initial boundary value problem in an infinite plane channel about a Poiseuille-type flow. For this Poiseuille-type flow, we also determine the parameter domain of linear Lyapunov stability.

AB - We study a new rheological model describing flows of melts and solutions of incompressible viscoelastic polymeric media in an external uniform magnetic field in the presence of a temperature drop and a conduction current. We derive an asymptotic representation of the spectrum of the linear problem resulting from the linearization of the initial boundary value problem in an infinite plane channel about a Poiseuille-type flow. For this Poiseuille-type flow, we also determine the parameter domain of linear Lyapunov stability.

KW - conduction current

KW - I incompressible viscoelastic

KW - Lyapunov stability

KW - magnetic field

KW - Poiseuille-type flow

KW - polymeric fluid

UR - http://www.scopus.com/inward/record.url?scp=85080965417&partnerID=8YFLogxK

U2 - 10.1142/S0219891619500243

DO - 10.1142/S0219891619500243

M3 - Article

AN - SCOPUS:85080965417

VL - 16

SP - 793

EP - 817

JO - Journal of Hyperbolic Differential Equations

JF - Journal of Hyperbolic Differential Equations

SN - 0219-8916

IS - 4

ER -