Asymptotic formula for the spectrum of the linear problem describing periodic polymer flows in an infinite channel

DOI10.1134/S0021894418060044zbMath1457.76031OpenAlexW2909613047MaRDI QIDQ2632432

D. L. Tkachev, A. V. Yegitov, Alexander Blokhin

Publication date: 14 May 2019

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0021894418060044

zbMATH Keywords

Lyapunov stabilityPoiseuille flowrheological Pokrovskii-Vinogradov model

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Viscoelastic fluids (76A10) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (5)

An MHD model of an incompressible polymeric fluid: Linear instability of a steady state ⋮ Lyapunov instability of stationary flows of a polymeric fluid in a channel with perforated walls ⋮ Stability of Poiseuille-type flows for an MHD model of an incompressible polymeric fluid ⋮ Stability of the Poiseuille-type flow for a MHD model of an incompressible polymeric fluid ⋮ MHD model of incompressible polymeric fluid. Linear instability of the resting state

Cites Work

• Molecular approach in linear polymer dynamics: Theory and numerical experiment
• Linear instability of solutions in a mathematical model describing polymer flows in an infinite channel
• Linear asymptotic instability of a stationary flow of a polymeric medium in a plane channel in the case of periodic perturbations
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