The Spectrum of a problem on the flow of a polymeric viscoelastic fluid in a cylindrical channel described by vinogradov-pokrovski model Full article
| Source | Analytical Methods in Differential Equations Compilation, De Gruyter. 2025. 206 c. ISBN 9783111570518. РИНЦ |
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| Output data | Year: 2025, Pages: 173-184 Pages count : 11 DOI: 10.1515/9783111570518-018 | ||
| Tags | incompressible viscoelastic polymeric medium, rheological correlation, resting state, linearized mixed problem, Lyapunov stability | ||
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0008 |
Abstract:
We study the linear stability of a resting state for flows of incompressible viscoelastic polymeric fluid in an infinite cylindrical channel in axisymmetric perturbation class. We use structurally-phenomenological Vinogradov-Pokrovski model as our mathematical model. We formulate two equations that define the spectrum of the problem. Our numerical experiments show that with the growth of perturbations frequency along the channel axis there appear eigenvalues with positive real part for the radial velocity component of the first spectral equation. That guarantees linear Lyapunov instability of the resting state.
Cite:
Tkachev D.L.
, Biberdorf E.A.
The Spectrum of a problem on the flow of a polymeric viscoelastic fluid in a cylindrical channel described by vinogradov-pokrovski model
In compilation Analytical Methods in Differential Equations. – De Gruyter., 2025. – C.173-184. – ISBN 9783111570518. DOI: 10.1515/9783111570518-018 OpenAlex
The Spectrum of a problem on the flow of a polymeric viscoelastic fluid in a cylindrical channel described by vinogradov-pokrovski model
In compilation Analytical Methods in Differential Equations. – De Gruyter., 2025. – C.173-184. – ISBN 9783111570518. DOI: 10.1515/9783111570518-018 OpenAlex
Dates:
| Published print: | Feb 17, 2025 |
| Published online: | Feb 17, 2025 |
Identifiers:
| OpenAlex: | W4407147145 |
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