Asymptotics of the spectrum of a linearized problem of the stability of a stationary flow of an incompressible polymer fluid with a space charge

DOI10.1134/S0965542518010037zbMath1444.35128OpenAlexW2793873657WikidataQ130173691 ScholiaQ130173691MaRDI QIDQ1746353

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

Publication date: 25 April 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542518010037

zbMATH Keywords

eigenvaluesasymptotics of spectrumflow of a polymer fluidlinearized problem of stability

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Viscoelastic fluids (76A10) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (10)

An MHD model of an incompressible polymeric fluid: Linear instability of a steady state ⋮ Spectrum and linear Lyapunov instability of a resting state for flows of an incompressible polymeric fluid ⋮ Lyapunov instability of the stationary flows of polymeric fluid with constant flow rate ⋮ The spectrum and Lyapunov linear instability of the stationary state for polymer fluid flows: the Vinogradov-Pokrovskii model ⋮ Stability of Poiseuille-type flows in an MHD model of an incompressible polymeric fluid ⋮ Stability of Poiseuille-type flows for an MHD model of an incompressible polymeric fluid ⋮ Lyapunov instability of the stationary flows of a polymeric fluid in an infinite plane channel with constant flow rate ⋮ 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 ⋮ Stability of Poiseuille-type flows for an MHD model of an incompressible polymeric fluid

Cites Work

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• Constitutive equations for weakly entangled linear polymers
• Spectral instability of characteristic boundary layer flows
• Linear instability of solutions in a mathematical model describing polymer flows in an infinite channel
• Stationary solutions of equations of incompressible viscoelastic polymer liquid
• Stationary solutions of the equations for nonisothermal electroconvection of a weakly conducting incompressible polymeric liquid
• On the formulation of rheological equations of state
• 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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