Rheological Vinogradov-Pokrovski Model. Lyapunov Linear Instability of the Stationary Flows of Polymeric Fluid in an Infinite Plane Channel with Perforated Walls Full article
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XVIII International Conference on Hyperbolic Problems: Theory, Numerics, and Applications 20-24 Jun 2022 , Малага |
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| Source | Hyperbolic Problems: Theory, Numerics, Applications. Volume I. Proceedings of the XVIII International Conference on Hyperbolic Problems (HYP2022), Málaga, Spain, June 20-24, 2022 Compilation, Springer Cham. 2024. 384 c. ISBN 9783031552595. |
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| Output data | Year: 2024, Pages: 373-384 Pages count : 12 DOI: 10.1007/978-3-031-55260-1_29 | ||
| Tags | Incompressible viscoelastic polymeric medium · Vinogradov-Pokrovski model · Infinite plane channel with perforated walls · Stationary flow · Lyapunov linear instability | ||
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0008 |
Abstract:
We study a rheological Vinogradov-Pokrovski model for the flows of solutions and melts of incompressible viscoelastic polymeric medium in case of a f low 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.
Cite:
Tkachev D.L.
Rheological Vinogradov-Pokrovski Model. Lyapunov Linear Instability of the Stationary Flows of Polymeric Fluid in an Infinite Plane Channel with Perforated Walls
In compilation Hyperbolic Problems: Theory, Numerics, Applications. Volume I. Proceedings of the XVIII International Conference on Hyperbolic Problems (HYP2022), Málaga, Spain, June 20-24, 2022. – Springer Cham., 2024. – C.373-384. – ISBN 9783031552595. DOI: 10.1007/978-3-031-55260-1_29 WOS Scopus OpenAlex
Rheological Vinogradov-Pokrovski Model. Lyapunov Linear Instability of the Stationary Flows of Polymeric Fluid in an Infinite Plane Channel with Perforated Walls
In compilation Hyperbolic Problems: Theory, Numerics, Applications. Volume I. Proceedings of the XVIII International Conference on Hyperbolic Problems (HYP2022), Málaga, Spain, June 20-24, 2022. – Springer Cham., 2024. – C.373-384. – ISBN 9783031552595. DOI: 10.1007/978-3-031-55260-1_29 WOS Scopus OpenAlex
Dates:
| Published print: | May 20, 2024 |
| Published online: | May 20, 2024 |
Identifiers:
| Web of science: | WOS:001284747900029 |
| Scopus: | 2-s2.0-85195946004 |
| OpenAlex: | W4399038925 |
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