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

Authors :: D. L. Tkachev
A. V. Yegitov
A. M. Blokhin
Source :: Computational Mathematics and Mathematical Physics. 55:848-873
Publication Year :: 2015
Publisher :: Pleiades Publishing Ltd, 2015.
Abstract: A new rheological model describing flows of incompressible viscoelastic polymer fluid is studied. Lyapunov’s linear instability of the Poiseuille flow counterpart for the Navier-Stokes equations in a plane infinite channel is proven.

Subjects :: Lyapunov function
Physics
Plane (geometry)
Mathematics::Analysis of PDEs
Mechanics
Hagen–Poiseuille equation
Instability
Viscoelasticity
Condensed Matter::Soft Condensed Matter
Physics::Fluid Dynamics
Computational Mathematics
symbols.namesake
Classical mechanics
Rheology
Compressibility
symbols
Communication channel

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