Linear instability of solutions in a mathematical model describing polymer flows in an infinite channel

DOI10.1134/S0965542515050073zbMath1426.76153OpenAlexW898755047MaRDI QIDQ2354511

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

Publication date: 13 July 2015

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

Full work available at URL: https://doi.org/10.1134/s0965542515050073

zbMATH Keywords

dumbbellBrownian particlePoiseuille solutionincompressible viscoelastic polymer fluidlinear instability of solutionsrheological relationshipwell-posedness of mixed problem

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Viscoelastic fluids (76A10) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (15)

Asymptotic formula for the spectrum of the linear problem describing periodic polymer flows in an infinite channel ⋮ An MHD model of an incompressible polymeric fluid: Linear instability of a steady state ⋮ Linear Stability of an Incompressible Polymer Fluid at Rest ⋮ Lyapunov instability of stationary flows of a polymeric fluid in a channel with perforated walls ⋮ Spectral asymptotics of a linearized problem for an incompressible weakly conducting polymeric fluid ⋮ 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 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 ⋮ Asymptotics of the spectrum of a linearized problem of the stability of a stationary flow of an incompressible polymer fluid with a space charge ⋮ Estimation of two error components in the numerical solution to the problem of nonisothermal flow of polymer fluid between two coaxial cylinders ⋮ 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

• Molecular approach in linear polymer dynamics: Theory and numerical experiment
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