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An MHD Model of an Incompressible Polymeric Fluid: Linear Instability of a Steady State Научная публикация

Журнал Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797
Вых. Данные Год: 2020, Том: 14, Номер: 3, Страницы: 430-442 Страниц : 13 DOI: 10.1134/S1990478920030035
Ключевые слова incompressible viscoelastic polymeric fluid; Lyapunov stability; magnetohydrodynamic flow; Poiseuille-type flow; rheological correlation; spectrum; steady state
Авторы Blokhin A.M. 1,2 , Rudometova A.S. 1,2 , Tkachev D.L. 1,2
Организации
1 Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation
2 Novosibirsk State University, Novosibirsk, 630090, Russian Federation

Реферат: Abstract: We study linear stability of a steady state for a generalization of the basic rheological Pokrovskii–Vinogradov model which describes the flows of melts and solutions of an incompressible viscoelastic polymeric medium in the nonisothermal case under the influence of a magnetic field. We prove that the corresponding linearized problem describing magnetohydrodynamic flows of polymers in an infinite plane channel has the following property: For some values of the conduction current which is given on the electrodes (i.e. at the channel boundaries), there exist solutions whose amplitude grows exponentially (in the class of functions periodic along the channel).
Библиографическая ссылка: Blokhin A.M. , Rudometova A.S. , Tkachev D.L.
An MHD Model of an Incompressible Polymeric Fluid: Linear Instability of a Steady State
Journal of Applied and Industrial Mathematics. 2020. V.14. N3. P.430-442. DOI: 10.1134/S1990478920030035 Scopus OpenAlex
Оригинальная: Блохин А.М. , Рудометова А.С. , Ткачев Д.Л.
МГД модель несжимаемой полимерной жидкости: линейная неустойчивость состояния покоя
Сибирский журнал индустриальной математики. 2020. Т.23. №3. С.16–30.
Идентификаторы БД:
Scopus: 2-s2.0-85094676365
OpenAlex: W3096159654
Цитирование в БД:
БД Цитирований
OpenAlex 1
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