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

International Conference on the Methods of Aerophysical Research, ICMAR 2020. ред. / Vasily M. Fomin; Alexander Shiplyuk. American Institute of Physics Inc., 2021. 040057 (AIP Conference Proceedings; Том 2351).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование

Harvard

Blokhin, A & Tkachev, D 2021, Linear instability of the resting state for the MHD model of an incomressible polymeric fluid. в VM Fomin & A Shiplyuk (ред.), International Conference on the Methods of Aerophysical Research, ICMAR 2020., 040057, AIP Conference Proceedings, Том. 2351, American Institute of Physics Inc., 20th International Conference on the Methods of Aerophysical Research, ICMAR 2020, Akademgorodok, Novosibirsk, Российская Федерация, 01.11.2020. https://doi.org/10.1063/5.0052068

APA

Blokhin, A., & Tkachev, D. (2021). Linear instability of the resting state for the MHD model of an incomressible polymeric fluid. в V. M. Fomin, & A. Shiplyuk (Ред.), International Conference on the Methods of Aerophysical Research, ICMAR 2020 [040057] (AIP Conference Proceedings; Том 2351). American Institute of Physics Inc.. https://doi.org/10.1063/5.0052068

Vancouver

Blokhin A, Tkachev D. Linear instability of the resting state for the MHD model of an incomressible polymeric fluid. в Fomin VM, Shiplyuk A, Редакторы, International Conference on the Methods of Aerophysical Research, ICMAR 2020. American Institute of Physics Inc. 2021. 040057. (AIP Conference Proceedings). doi: 10.1063/5.0052068

Author

Blokhin, Alexander ; Tkachev, Dmitry. / Linear instability of the resting state for the MHD model of an incomressible polymeric fluid. International Conference on the Methods of Aerophysical Research, ICMAR 2020. Редактор / Vasily M. Fomin ; Alexander Shiplyuk. American Institute of Physics Inc., 2021. (AIP Conference Proceedings).

BibTeX

@inproceedings{efc4883164594f5ab28802c2849b0c61,
title = "Linear instability of the resting state for the MHD model of an incomressible polymeric fluid",
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 = "Funding Information: The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project no. 0314-2019-0013) and additionally supported by the RFBR, project number 19-01-00261a. Publisher Copyright: {\textcopyright} 2021 Author(s). Copyright: Copyright 2021 Elsevier B.V., All rights reserved.; 20th International Conference on the Methods of Aerophysical Research, ICMAR 2020 ; Conference date: 01-11-2020 Through 07-11-2020",
year = "2021",
month = may,
day = "24",
doi = "10.1063/5.0052068",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Fomin, {Vasily M.} and Alexander Shiplyuk",
booktitle = "International Conference on the Methods of Aerophysical Research, ICMAR 2020",

}

RIS

TY - GEN

T1 - Linear instability of the resting state for the MHD model of an incomressible polymeric fluid

AU - Blokhin, Alexander

AU - Tkachev, Dmitry

N1 - Funding Information: The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project no. 0314-2019-0013) and additionally supported by the RFBR, project number 19-01-00261a. Publisher Copyright: © 2021 Author(s). Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/5/24

Y1 - 2021/5/24

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=85107192183&partnerID=8YFLogxK

U2 - 10.1063/5.0052068

DO - 10.1063/5.0052068

M3 - Conference contribution

AN - SCOPUS:85107192183

T3 - AIP Conference Proceedings

BT - International Conference on the Methods of Aerophysical Research, ICMAR 2020

A2 - Fomin, Vasily M.

A2 - Shiplyuk, Alexander

PB - American Institute of Physics Inc.

T2 - 20th International Conference on the Methods of Aerophysical Research, ICMAR 2020

Y2 - 1 November 2020 through 7 November 2020

ER -

ID: 28876597