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

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Lyapunov instability of the stationary flows of a polymeric fluid in an infinite plane channel with constant flow rate. / Blokhin, A. M.; Tkachev, D. L.; Yegitov, A. V.

In: Journal of Mathematical Analysis and Applications, Vol. 506, No. 1, 125541, 01.02.2022.

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

BibTeX

@article{43d25eedb7c64192a09b2629252061fc,

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.",

year = "2022",

month = feb,

day = "1",

doi = "10.1016/j.jmaa.2021.125541",

language = "English",

volume = "506",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

RIS

TY - JOUR

T1 - Lyapunov instability of the stationary flows of a polymeric fluid in an infinite plane channel with constant flow rate

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

UR - http://www.scopus.com/inward/record.url?scp=85113512925&partnerID=8YFLogxK

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

U2 - 10.1016/j.jmaa.2021.125541

DO - 10.1016/j.jmaa.2021.125541

M3 - Article

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 -

ID: 34107470