Lyapunov instability of the stationary flows of a polymeric fluid in an infinite plane channel with constant flow rate Full article
| Journal |
Journal of Mathematical Analysis and Applications
ISSN: 0022-247X , E-ISSN: 1096-0813 |
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| Output data | Year: 2022, Volume: 506, Number: 1, Article number : 125541, Pages count : DOI: 10.1016/j.jmaa.2021.125541 | ||||
| Tags | Base solution; Incompressible viscoelastic polymeric medium; Infinite plane channel with perforated walls; Linear Lyapunov instability; Rheological correlation | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 20-11-20036 |
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. © 2021 Elsevier Inc.
Cite:
Blokhin A.M.
, Tkachev D.L.
, Yegitov A.V.
Lyapunov instability of the stationary flows of a polymeric fluid in an infinite plane channel with constant flow rate
Journal of Mathematical Analysis and Applications. 2022. V.506. N1. 125541 . DOI: 10.1016/j.jmaa.2021.125541 WOS Scopus РИНЦ OpenAlex
Lyapunov instability of the stationary flows of a polymeric fluid in an infinite plane channel with constant flow rate
Journal of Mathematical Analysis and Applications. 2022. V.506. N1. 125541 . DOI: 10.1016/j.jmaa.2021.125541 WOS Scopus РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000705028400048 |
| Scopus: | 2-s2.0-85113512925 |
| Elibrary: | 47019695 |
| OpenAlex: | W3192459648 |