Linear instability of the resting state for the MHD model of an incomressible polymeric fluid | Sciact - Система учета научной деятельности ИМ СО РАН

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

Журнал

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

Вых. Данные

Год: 2021, Том: 2351, Номер статьи : 040057, Страниц : DOI: 10.1063/5.0052068

Авторы

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

Организации

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

БД	Цитирований
Scopus	5