TY - JOUR

T1 - Lyapunov instability of the stationary flows of polymeric fluid with constant flow rate

AU - Blokhin, Alexander M.

AU - Tkachev, Dmitry L.

N1 - Funding Information: Authors are grateful to A.V. Yegitov for the help in formatting the paper. Blokhin, A. M. Lyapunov instability of the stationary flows of polymeric fluid with constant flow rate / A. M. Blokhin, D. L. Tkachev // ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. – 2021. Publisher Copyright: © 2021 Wiley-VCH GmbH.

PY - 2021/12

Y1 - 2021/12

N2 - 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.

AB - 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.

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=85109380301&partnerID=8YFLogxK

UR - https://www.elibrary.ru/item.asp?id=46871581

U2 - 10.1002/zamm.202000384

DO - 10.1002/zamm.202000384

M3 - Article

AN - SCOPUS:85109380301

VL - 101

JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

SN - 0044-2267

IS - 12

M1 - e202000384

ER -