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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
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.
Output data Year: 2022, DOI: 10.53954/9785604788967_190
Authors Tkachev Dmitrii Leonidovich 1
Affiliations
1 Sobolev Institute of Mathematics

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
Identifiers:
OpenAlex: W4286374932
Citing: Пока нет цитирований
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