Аннотация
A generalization of the Pokrovskii-Vinogradov model for flows of solutions and melts of incompressible viscoelastic polymeric media to the case of nonisothermic flows in an infinite plane channel under the effect of a magnetic field is considered. A formal asymptotic representation is derived for the eigenvalues of the linearized problem (the basic solution is an analogue of the Poiseuille flow of a viscous fluid in the Navier-Stokes model) as their absolute value increases. A necessary condition for the asymptotic stability of an analogue of the Poiseuille shear flow is deduced. Bibliography: 22 titles.
Язык оригинала | английский |
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Страницы (с-по) | 901-921 |
Число страниц | 21 |
Журнал | Sbornik Mathematics |
Том | 211 |
Номер выпуска | 7 |
DOI | |
Состояние | Опубликовано - июл 2020 |