Lyapunov instability of the stationary flows of a polymeric fluid in an infinite plane channel with constant flow rate

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Abstract

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

Original languageEnglish
Article number125541
JournalJournal of Mathematical Analysis and Applications
Volume506
Issue number1
DOIs
Publication statusPublished - 1 Feb 2022

Keywords

  • Base solution
  • Incompressible viscoelastic polymeric medium
  • Infinite plane channel with perforated walls
  • Linear Lyapunov instability
  • Rheological correlation

OECD FOS+WOS

  • 1.01 MATHEMATICS

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