MHD model of an incompressible polymeric fluid. Linear instability of the resting state

Standard

MHD model of an incompressible polymeric fluid. Linear instability of the resting state. / Blokhin, Alexander; Tkachev, Dmitry.

In: Journal of Physics: Conference Series, Vol. 1666, No. 1, 012007, 20.11.2020.

Research output: Contribution to journal › Conference article › peer-review

Harvard

Blokhin, A & Tkachev, D 2020, 'MHD model of an incompressible polymeric fluid. Linear instability of the resting state', Journal of Physics: Conference Series, vol. 1666, no. 1, 012007. https://doi.org/10.1088/1742-6596/1666/1/012007

APA

Blokhin, A., & Tkachev, D. (2020). MHD model of an incompressible polymeric fluid. Linear instability of the resting state. Journal of Physics: Conference Series, 1666(1), [012007]. https://doi.org/10.1088/1742-6596/1666/1/012007

Vancouver

Blokhin A, Tkachev D. MHD model of an incompressible polymeric fluid. Linear instability of the resting state. Journal of Physics: Conference Series. 2020 Nov 20;1666(1):012007. doi: 10.1088/1742-6596/1666/1/012007

Author

Blokhin, Alexander ; Tkachev, Dmitry. / MHD model of an incompressible polymeric fluid. Linear instability of the resting state. In: Journal of Physics: Conference Series. 2020 ; Vol. 1666, No. 1.

BibTeX

@article{715ac9ca80694377b0f3793263cfb211,

title = "MHD model of an incompressible polymeric fluid. Linear instability of the resting state",

abstract = "We study the linear stability of a resting state for a generalization of the basic rheological Pokrovski-Vinogradov model for flows of solutions and melts of an incompressible viscoelastic polymeric medium to the nonisothermal case under the influence of magnetic field. We prove that the corresponding linearized problem describing magnetohydrodynamic flows of polymers in an infinite plane channel has the following property: for certain values of the conduction current which is given on the electrodes, i.e. on the channel boundaries, the problem has solutions whose amplitude grows exponentially (in the class of functions periodic along the channel).",

author = "Alexander Blokhin and Dmitry Tkachev",

note = "Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 9th International Conference on Lavrentyev Readings on Mathematics, Mechanics and Physics ; Conference date: 07-09-2020 Through 11-09-2020",

year = "2020",

month = nov,

day = "20",

doi = "10.1088/1742-6596/1666/1/012007",

language = "English",

volume = "1666",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

}

RIS

TY - JOUR

T1 - MHD model of an incompressible polymeric fluid. Linear instability of the resting state

AU - Blokhin, Alexander

AU - Tkachev, Dmitry

PY - 2020/11/20

Y1 - 2020/11/20

N2 - We study the linear stability of a resting state for a generalization of the basic rheological Pokrovski-Vinogradov model for flows of solutions and melts of an incompressible viscoelastic polymeric medium to the nonisothermal case under the influence of magnetic field. We prove that the corresponding linearized problem describing magnetohydrodynamic flows of polymers in an infinite plane channel has the following property: for certain values of the conduction current which is given on the electrodes, i.e. on the channel boundaries, the problem has solutions whose amplitude grows exponentially (in the class of functions periodic along the channel).

AB - We study the linear stability of a resting state for a generalization of the basic rheological Pokrovski-Vinogradov model for flows of solutions and melts of an incompressible viscoelastic polymeric medium to the nonisothermal case under the influence of magnetic field. We prove that the corresponding linearized problem describing magnetohydrodynamic flows of polymers in an infinite plane channel has the following property: for certain values of the conduction current which is given on the electrodes, i.e. on the channel boundaries, the problem has solutions whose amplitude grows exponentially (in the class of functions periodic along the channel).

UR - http://www.scopus.com/inward/record.url?scp=85097088004&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1666/1/012007

DO - 10.1088/1742-6596/1666/1/012007

M3 - Conference article

AN - SCOPUS:85097088004

VL - 1666

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012007

T2 - 9th International Conference on Lavrentyev Readings on Mathematics, Mechanics and Physics

Y2 - 7 September 2020 through 11 September 2020

ER -

ID: 26205481