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.

中文翻译：

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不可压缩聚合物流体的MHD模型中的Poiseuille型流的稳定性

考虑了将Pokrovskii-Vinogradov模型的不可渗透粘弹性聚合物介质的溶液和熔体流推广到在磁场作用下在无限平面通道中发生非等温流动的情况。线性化问题的特征值随其绝对值的增加而获得形式渐近表示（基本解是Navier-Stokes模型中粘性流体的Poiseuille流的类似物）。推论出泊瓦伊切变流类似物渐近稳定的必要条件。参考书目：22种。