Спектр и линейная неустойчивость состояния покоя для течений несжимаемой полимерной жидкости в плоском канале Conference Abstracts
Conference |
XII International Conference on the Methods of Aerophysical Research 08-14 Aug 2022 , Новосибирск |
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Source | International Conference on the Methods of Aerophysical Research, Abstracts, Part I Compilation, Novosibirsk, Siberian Branch of the Russian Academy of Sciences. Novosibirsk.2022. 235 c. ISBN 9785604788967. |
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Output data | Year: 2022, DOI: 10.53954/9785604788967_190 | ||
Authors |
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Affiliations |
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Funding (1)
1 | Sobolev Institute of Mathematics | FWNF-2022-0008 |
Abstract:
We study linear Lyapunov stability of a resting state for flows of an incompressible viscoelastic polymeric fluid in an infinite plane channel. As a model we choose rheological Vinogradov- Pokrovsky model well suited for describing flow characteristics of linear polymer melts. We find the spectrum of a mixed problem and prove that the solution of a linearised mixed problem in class of a periodic perturbations with regards to the variables, changing along the channel side, is growing faster than the exponent with linear power with the growth of time.
Cite:
Tkachev D.L.
Спектр и линейная неустойчивость состояния покоя для течений несжимаемой полимерной жидкости в плоском канале
In compilation International Conference on the Methods of Aerophysical Research, Abstracts, Part I. – Novosibirsk, Siberian Branch of the Russian Academy of Sciences., 2022. – Т.I. – ISBN 9785604788967. DOI: 10.53954/9785604788967_190 OpenAlex
Спектр и линейная неустойчивость состояния покоя для течений несжимаемой полимерной жидкости в плоском канале
In compilation International Conference on the Methods of Aerophysical Research, Abstracts, Part I. – Novosibirsk, Siberian Branch of the Russian Academy of Sciences., 2022. – Т.I. – ISBN 9785604788967. DOI: 10.53954/9785604788967_190 OpenAlex
Identifiers:
OpenAlex: | W4286374932 |
Citing:
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