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

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

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",
series = "Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov",
publisher = "Springer International Publishing AG",
pages = "45--51",
booktitle = "Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov",
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

UR - https://www.mendeley.com/catalogue/5cba6c79-ef92-37f0-bad7-3af5322a43df/

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

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

M3 - Chapter

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SN - 9783030388690

T3 - Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov

SP - 45

EP - 51

BT - Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov

PB - Springer International Publishing AG

ER -

ID: 34192235