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

A. M. Blokhin, D. L. Tkachev

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

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.

Original languageEnglish
Title of host publicationContinuum Mechanics, Applied Mathematics and Scientific Computing
Subtitle of host publicationGodunov's Legacy: A Liber Amicorum to Professor Godunov
PublisherSpringer International Publishing AG
Pages45-51
Number of pages7
ISBN (Electronic)9783030388706
ISBN (Print)9783030388690
DOIs
Publication statusPublished - 3 Apr 2020

OECD FOS+WOS

  • 1.03 PHYSICAL SCIENCES AND ASTRONOMY
  • 1.01 MATHEMATICS
  • 2.05 MATERIALS ENGINEERING

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