Spectrum and linear Lyapunov instability of a resting state for flows of an incompressible polymeric fluid Full article
| Journal |
Journal of Mathematical Analysis and Applications
ISSN: 0022-247X , E-ISSN: 1096-0813 |
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| Output data | Year: 2023, Volume: 522, Number: 1, Article number : 126914, Pages count : DOI: 10.1016/j.jmaa.2022.126914 | ||
| Tags | Incompressible viscoelastic polymeric medium; Linearized mixed problem; Lyapunov stability; Resting state; Rheological correlation | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0008 |
Abstract:
The Lyapunov linear instability of the state of rest for flows of an incompressible viscoelastic polymeric fluid in an infinite plane channel is proved. We use the Vinogradov-Pokrovski rheological model, which is well suited for describing the flow characteristics of linear polymer melts. The spectrum of the mixed problem is found and it is proved that the solution of a linearized mixed problem in the class of periodic perturbations with respect to a variable varying along the channel wall grows in time faster than any exponential function to a linear degree.
Cite:
Tkachev D.L.
Spectrum and linear Lyapunov instability of a resting state for flows of an incompressible polymeric fluid
Journal of Mathematical Analysis and Applications. 2023. V.522. N1. 126914 . DOI: 10.1016/j.jmaa.2022.126914 WOS Scopus РИНЦ OpenAlex
Spectrum and linear Lyapunov instability of a resting state for flows of an incompressible polymeric fluid
Journal of Mathematical Analysis and Applications. 2023. V.522. N1. 126914 . DOI: 10.1016/j.jmaa.2022.126914 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | May 12, 2022 |
| Published online: | Dec 7, 2022 |
| Published print: | Jan 20, 2023 |
Identifiers:
| Web of science: | WOS:000918932000001 |
| Scopus: | 2-s2.0-85144416509 |
| Elibrary: | 60204080 |
| OpenAlex: | W4313215250 |