Lyapunov instability of the stationary flows of polymeric fluid with constant flow rate

Alexander M. Blokhin, Dmitry L. Tkachev

Research output: Contribution to journalArticlepeer-review

Abstract

We study a rheological Pokrovski-Vinogradov model for the flows of solutions and melts of incompressible viscoelastic polymeric medium in case of a flow in an infinite plane channel with perforated walls. We prove the linear Lyapunov instability of the base solution with the constant flow rate in a perturbation class, periodic with respect to the variable, changing along the channel wall.

Original languageEnglish
Article numbere202000384
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume101
Issue number12
Early online date10 Jul 2021
DOIs
Publication statusPublished - Dec 2021

Keywords

  • base solution
  • incompressible viscoelastic polymeric medium
  • infinite plane channel with perforated walls
  • linear Lyapunov instability
  • rheological correlation

OECD FOS+WOS

  • 1.01 MATHEMATICS
  • 2.03.PU MECHANICS

State classification of scientific and technological information

  • 27 MATHEMATICS

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