Stability of the Poiseuille-type flow for a MHD model of an incompressible polymeric fluid

DOI10.1016/j.euromechflu.2019.12.006zbMath1436.76061arXiv1912.13195OpenAlexW2998326289MaRDI QIDQ2295412

D. L. Tkachev, Alexander Blokhin

Publication date: 13 February 2020

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.13195

zbMATH Keywords

magnetohydrodynamic flowrheological relationincompressible viscoelastic polymeric fluid

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) General topics in linear spectral theory for PDEs (35P05) Suspensions (76T20) Magnetohydrodynamics and electrohydrodynamics (76W05) First-order hyperbolic systems (35L40)

Related Items (7)

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 ⋮ Lyapunov instability of the stationary flows of a polymeric fluid in an infinite plane channel with constant flow rate ⋮ MHD model of incompressible polymeric fluid. Linear instability of the resting state ⋮ Линейная неустойчивость состояния покоя для МГД модели несжимаемой полимерной жидкости в случае абсолютной проводимости

Cites Work

• Spectral instability of characteristic boundary layer flows
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• Linear instability of solutions in a mathematical model describing polymer flows in an infinite channel
• Simple microfluids
• Theory of thermomicrofluids
• Asymptotic formula for the spectrum of the linear problem describing periodic polymer flows in an infinite channel
• Stationary solutions of the equations for nonisothermal electroconvection of a weakly conducting incompressible polymeric liquid
• On the $\mathcal R$-Boundedness for the Two Phase Problem with Phase Transition: Compressible-Incompressible Model Problem
• Stationary Magnetohydrodynamical Flows of Non-Isothermal Polymeric Liquid in the Flat 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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