MHD model of an incompressible polymeric fluid. Stability of the poiseuille type flow

A. M. Blokhin; D. L. Tkachev

doi:10.1007/978-3-030-38870-6_7

MHD model of an incompressible polymeric fluid. Stability of the poiseuille type flow

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › рецензирование

Аннотация

We study a generalization of the Pokrovski-Vinogradov model for flows of solutions and melts of an incompressible viscoelastic polymeric medium to nonisothermal flows in an infinite plane channel under the influence of magnetic field. For the linearized problem (when the basic solution is an analogue of the classical Poiseuille flow for a viscous fluid described by the Navier-Stokes equations) we find a formal asymptotic representation for the eigenvalues under the growth of their modulus. We obtain a necessary condition for the asymptotic stability of the Poiseuille-type shear flow.

Язык оригинала	английский
Название основной публикации	Continuum Mechanics, Applied Mathematics and Scientific Computing
Подзаголовок основной публикации	Godunov's Legacy: A Liber Amicorum to Professor Godunov
Издатель	Springer International Publishing AG
Страницы	45-51
Число страниц	7
ISBN (электронное издание)	9783030388706
ISBN (печатное издание)	9783030388690
DOI	https://doi.org/10.1007/978-3-030-38870-6_7
Состояние	Опубликовано - 3 апр. 2020

Предметные области OECD FOS+WOS

1.03 ФИЗИЧЕСКИЕ НАУКИ И АСТРОНОМИЯ
1.01 МАТЕМАТИКА
2.05 ТЕХНОЛОГИЯ МАТЕРИАЛОВ

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10.1007/978-3-030-38870-6_7

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abstract = "We study a generalization of the Pokrovski-Vinogradov model for flows of solutions and melts of an incompressible viscoelastic polymeric medium to nonisothermal flows in an infinite plane channel under the influence of magnetic field. For the linearized problem (when the basic solution is an analogue of the classical Poiseuille flow for a viscous fluid described by the Navier-Stokes equations) we find a formal asymptotic representation for the eigenvalues under the growth of their modulus. We obtain a necessary condition for the asymptotic stability of the Poiseuille-type shear flow.",

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MHD model of an incompressible polymeric fluid. Stability of the poiseuille type flow. / Blokhin, A. M.; Tkachev, D. L.

Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG, 2020. стр. 45-51.

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › рецензирование

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