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

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

Journal

AIP Conference Proceedings
ISSN: 0094-243X , E-ISSN: 1551-7616

Output data

Year: 2021, Volume: 2351, Article number : 040057, Pages count : DOI: 10.1063/5.0052068

Authors

Blokhin A. ^1,2 , Tkachev D. ^1,2

Affiliations

1	Novosibirsk State University, Novosibirsk, 630090, Russian Federation
2	Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation

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).

Blokhin A. , Tkachev D.
Linear instability of the resting state for the MHD model of an incomressible polymeric fluid
AIP Conference Proceedings. 2021. V.2351. 040057 . DOI: 10.1063/5.0052068 Scopus OpenAlex

Scopus:	2-s2.0-85107192183
OpenAlex:	W3164851868

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Scopus	5