Lyapunov instability of the stationary flows of a polymeric fluid in an infinite plane channel with constant flow rate

A. M. Blokhin; D. L. Tkachev; A. V. Yegitov

doi:10.1016/j.jmaa.2021.125541

Lyapunov instability of the stationary flows of a polymeric fluid in an infinite plane channel with constant flow rate

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

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Article number	125541
Journal	Journal of Mathematical Analysis and Applications
Volume	506
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2021.125541
Publication status	Published - 1 Feb 2022

Keywords

Base solution
Incompressible viscoelastic polymeric medium
Infinite plane channel with perforated walls
Linear Lyapunov instability
Rheological correlation

OECD FOS+WOS

1.01 MATHEMATICS

State classification of scientific and technological information

27 MATHEMATICS

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10.1016/j.jmaa.2021.125541

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title = "Lyapunov instability of the stationary flows of a polymeric fluid in an infinite plane channel with constant flow rate",

abstract = "In this study, we consider a rheological Pokrovski–Vinogradov model of the flows of solutions and melts of an incompressible viscoelastic polymeric medium for a flow in an infinite plane channel with perforated walls. We prove the linear Lyapunov instability of the base solution with a constant flow rate in a perturbation class, which is periodic with respect to the variable and changing along the channel wall.",

keywords = "Base solution, Incompressible viscoelastic polymeric medium, Infinite plane channel with perforated walls, Linear Lyapunov instability, Rheological correlation",

author = "Blokhin, {A. M.} and Tkachev, {D. L.} and Yegitov, {A. V.}",

note = "Funding Information: This study was supported by an RSF grant (project code 20-11-20036 ). Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",

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AU - Blokhin, A. M.

AU - Tkachev, D. L.

AU - Yegitov, A. V.

PY - 2022/2/1

Y1 - 2022/2/1

N2 - In this study, we consider a rheological Pokrovski–Vinogradov model of the flows of solutions and melts of an incompressible viscoelastic polymeric medium for a flow in an infinite plane channel with perforated walls. We prove the linear Lyapunov instability of the base solution with a constant flow rate in a perturbation class, which is periodic with respect to the variable and changing along the channel wall.

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

KW - Base solution

KW - Incompressible viscoelastic polymeric medium

KW - Infinite plane channel with perforated walls

KW - Linear Lyapunov instability

KW - Rheological correlation

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UR - https://www.elibrary.ru/item.asp?id=47019695

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DO - 10.1016/j.jmaa.2021.125541

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AN - SCOPUS:85113512925

VL - 506

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

M1 - 125541

ER -

Lyapunov instability of the stationary flows of a polymeric fluid in an infinite plane channel with constant flow rate

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