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Stability of Poiseuille-type flows for an MHD model of an incompressible polymeric fluid. / Blokhin, A. M.; Tkachev, D. L.

In: Journal of Hyperbolic Differential Equations, Vol. 16, No. 4, 01.12.2019, p. 793-817.

Research output: Contribution to journal › Article › peer-review

Harvard

Blokhin, AM & Tkachev, DL 2019, 'Stability of Poiseuille-type flows for an MHD model of an incompressible polymeric fluid', Journal of Hyperbolic Differential Equations, vol. 16, no. 4, pp. 793-817. https://doi.org/10.1142/S0219891619500243

APA

Blokhin, A. M., & Tkachev, D. L. (2019). Stability of Poiseuille-type flows for an MHD model of an incompressible polymeric fluid. Journal of Hyperbolic Differential Equations, 16(4), 793-817. https://doi.org/10.1142/S0219891619500243

Vancouver

Blokhin AM, Tkachev DL. Stability of Poiseuille-type flows for an MHD model of an incompressible polymeric fluid. Journal of Hyperbolic Differential Equations. 2019 Dec 1;16(4):793-817. doi: 10.1142/S0219891619500243

Author

Blokhin, A. M. ; Tkachev, D. L. / Stability of Poiseuille-type flows for an MHD model of an incompressible polymeric fluid. In: Journal of Hyperbolic Differential Equations. 2019 ; Vol. 16, No. 4. pp. 793-817.

BibTeX

@article{cac1c3c881c94cb6b706ec298e93fb8e,
title = "Stability of Poiseuille-type flows for an MHD model of an incompressible polymeric fluid",
abstract = "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.",
keywords = "conduction current, I incompressible viscoelastic, Lyapunov stability, magnetic field, Poiseuille-type flow, polymeric fluid",
author = "Blokhin, {A. M.} and Tkachev, {D. L.}",
year = "2019",
month = dec,
day = "1",
doi = "10.1142/S0219891619500243",
language = "English",
volume = "16",
pages = "793--817",
journal = "Journal of Hyperbolic Differential Equations",
issn = "0219-8916",
publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",
number = "4",

}

RIS

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 -

ID: 23739039