Lyapunov instability of the stationary flows of polymeric fluid with constant flow rate,ZAMM - Journal of Applied Mathematics and Mechanics

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Lyapunov instability of the stationary flows of polymeric fluid with constant flow rate
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-07-10 , DOI: 10.1002/zamm.202000384
Alexander M. Blokhin _{1,

2} , Dmitry L. Tkachev _{1,

2}

Affiliation

We study a rheological Pokrovski-Vinogradov model for the flows of solutions and melts of incompressible viscoelastic polymeric medium in case of a flow in an infinite plane channel with perforated walls. We prove the linear Lyapunov instability of the base solution with the constant flow rate in a perturbation class, periodic with respect to the variable, changing along the channel wall.

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