@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",
}