Standard

MHD model of an incompressible polymeric fluid. Stability of the poiseuille type flow. / Blokhin, A. M.; Tkachev, D. L.

Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG, 2020. p. 45-51.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

Harvard

Blokhin, AM & Tkachev, DL 2020, MHD model of an incompressible polymeric fluid. Stability of the poiseuille type flow. in Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG, pp. 45-51. https://doi.org/10.1007/978-3-030-38870-6_7

APA

Blokhin, A. M., & Tkachev, D. L. (2020). MHD model of an incompressible polymeric fluid. Stability of the poiseuille type flow. In Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov (pp. 45-51). Springer International Publishing AG. https://doi.org/10.1007/978-3-030-38870-6_7

Vancouver

Blokhin AM, Tkachev DL. MHD model of an incompressible polymeric fluid. Stability of the poiseuille type flow. In Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG. 2020. p. 45-51 doi: 10.1007/978-3-030-38870-6_7

Author

Blokhin, A. M. ; Tkachev, D. L. / MHD model of an incompressible polymeric fluid. Stability of the poiseuille type flow. Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG, 2020. pp. 45-51

BibTeX

@inbook{c1f371245338472288f2b212388b16bf,
title = "MHD model of an incompressible polymeric fluid. Stability of the poiseuille type flow",
abstract = "We study a generalization of the Pokrovski-Vinogradov model for flows of solutions and melts of an incompressible viscoelastic polymeric medium to nonisothermal flows in an infinite plane channel under the influence of magnetic field. For the linearized problem (when the basic solution is an analogue of the classical Poiseuille flow for a viscous fluid described by the Navier-Stokes equations) we find a formal asymptotic representation for the eigenvalues under the growth of their modulus. We obtain a necessary condition for the asymptotic stability of the Poiseuille-type shear flow.",
author = "Blokhin, {A. M.} and Tkachev, {D. L.}",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2020.",
year = "2020",
month = apr,
day = "3",
doi = "10.1007/978-3-030-38870-6_7",
language = "English",
isbn = "9783030388690",
pages = "45--51",
booktitle = "Continuum Mechanics, Applied Mathematics and Scientific Computing",
publisher = "Springer International Publishing AG",
address = "Switzerland",

}

RIS

TY - CHAP

T1 - MHD model of an incompressible polymeric fluid. Stability of the poiseuille type flow

AU - Blokhin, A. M.

AU - Tkachev, D. L.

N1 - Publisher Copyright: © Springer Nature Switzerland AG 2020.

PY - 2020/4/3

Y1 - 2020/4/3

N2 - We study a generalization of the Pokrovski-Vinogradov model for flows of solutions and melts of an incompressible viscoelastic polymeric medium to nonisothermal flows in an infinite plane channel under the influence of magnetic field. For the linearized problem (when the basic solution is an analogue of the classical Poiseuille flow for a viscous fluid described by the Navier-Stokes equations) we find a formal asymptotic representation for the eigenvalues under the growth of their modulus. We obtain a necessary condition for the asymptotic stability of the Poiseuille-type shear flow.

AB - We study a generalization of the Pokrovski-Vinogradov model for flows of solutions and melts of an incompressible viscoelastic polymeric medium to nonisothermal flows in an infinite plane channel under the influence of magnetic field. For the linearized problem (when the basic solution is an analogue of the classical Poiseuille flow for a viscous fluid described by the Navier-Stokes equations) we find a formal asymptotic representation for the eigenvalues under the growth of their modulus. We obtain a necessary condition for the asymptotic stability of the Poiseuille-type shear flow.

UR - http://www.scopus.com/inward/record.url?scp=85114657034&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-38870-6_7

DO - 10.1007/978-3-030-38870-6_7

M3 - Chapter

AN - SCOPUS:85114657034

SN - 9783030388690

SP - 45

EP - 51

BT - Continuum Mechanics, Applied Mathematics and Scientific Computing

PB - Springer International Publishing AG

ER -

ID: 34192235