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

Alexander Blokhin, Dmitry Tkachev

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

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).

Original languageEnglish
Title of host publicationInternational Conference on the Methods of Aerophysical Research, ICMAR 2020
EditorsVasily M. Fomin, Alexander Shiplyuk
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735440999
DOIs
Publication statusPublished - 24 May 2021
Event20th International Conference on the Methods of Aerophysical Research, ICMAR 2020 - Akademgorodok, Novosibirsk, Russian Federation
Duration: 1 Nov 20207 Nov 2020

Publication series

NameAIP Conference Proceedings
Volume2351
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference20th International Conference on the Methods of Aerophysical Research, ICMAR 2020
CountryRussian Federation
CityAkademgorodok, Novosibirsk
Period01.11.202007.11.2020

OECD FOS+WOS

  • 1.03 PHYSICAL SCIENCES AND ASTRONOMY

Fingerprint

Dive into the research topics of 'Linear instability of the resting state for the MHD model of an incomressible polymeric fluid'. Together they form a unique fingerprint.

Cite this