Spectral asymptotics of a linearized problem describing flow of a viscoelastic polymeric fluid

Aleksey Yegitov

doi:10.1063/1.5065277

Spectral asymptotics of a linearized problem describing flow of a viscoelastic polymeric fluid

Кафедра высшей математики ФФ

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › рецензирование

Аннотация

We study a new rheological model (a modification of a known Pokrovski - Vinogradov model). As was shown by numerical simulations, it takes into account nonlinear effects arising in flows of melts and solutions of polymers in domains with a complex boundary geometry. In the case when the main solution is a Poiseuille-type flow in an infinite plane channel (one considers a viscoelastic polymeric fluid) we obtain an asymptotic formula for the distribution of spectrum points of the linear problem. Small perturbations have such the additional property that they are periodic with respect to the variable going along the side of the channel.

Язык оригинала	английский
Название основной публикации	19th International Conference on the Methods of Aerophysical Research, ICMAR 2018
Редакторы	Fomin
Издатель	American Institute of Physics Inc.
Число страниц	6
Том	2027
ISBN (электронное издание)	9780735417472
DOI	https://doi.org/10.1063/1.5065277
Состояние	Опубликовано - 2 ноя 2018
Событие	19th International Conference on the Methods of Aerophysical Research, ICMAR 2018 - Akademgorodok, Novosibirsk, Российская Федерация Продолжительность: 13 авг 2018 → 19 авг 2018

Серия публикаций

Название	AIP Conference Proceedings
Издатель	AMER INST PHYSICS
Том	2027
ISSN (печатное издание)	0094-243X

Конференция

Конференция	19th International Conference on the Methods of Aerophysical Research, ICMAR 2018
Страна	Российская Федерация
Город	Akademgorodok, Novosibirsk
Период	13.08.2018 → 19.08.2018

Доступ к документу

10.1063/1.5065277

Link to publication in Scopus

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Цитировать

Yegitov, A. (2018). Spectral asymptotics of a linearized problem describing flow of a viscoelastic polymeric fluid. В Fomin (Ред.), 19th International Conference on the Methods of Aerophysical Research, ICMAR 2018 (Том 2027). [040003] (AIP Conference Proceedings; Том 2027). American Institute of Physics Inc.. https://doi.org/10.1063/1.5065277

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title = "Spectral asymptotics of a linearized problem describing flow of a viscoelastic polymeric fluid",

abstract = "We study a new rheological model (a modification of a known Pokrovski - Vinogradov model). As was shown by numerical simulations, it takes into account nonlinear effects arising in flows of melts and solutions of polymers in domains with a complex boundary geometry. In the case when the main solution is a Poiseuille-type flow in an infinite plane channel (one considers a viscoelastic polymeric fluid) we obtain an asymptotic formula for the distribution of spectrum points of the linear problem. Small perturbations have such the additional property that they are periodic with respect to the variable going along the side of the channel.",

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Yegitov, A 2018, Spectral asymptotics of a linearized problem describing flow of a viscoelastic polymeric fluid. в Fomin (ред.), 19th International Conference on the Methods of Aerophysical Research, ICMAR 2018. том. 2027, 040003, AIP Conference Proceedings, том. 2027, American Institute of Physics Inc., 19th International Conference on the Methods of Aerophysical Research, ICMAR 2018, Akademgorodok, Novosibirsk, Российская Федерация, 13.08.2018. https://doi.org/10.1063/1.5065277

Spectral asymptotics of a linearized problem describing flow of a viscoelastic polymeric fluid. / Yegitov, Aleksey.

19th International Conference on the Methods of Aerophysical Research, ICMAR 2018. ред. / Fomin. Том 2027 American Institute of Physics Inc., 2018. 040003 (AIP Conference Proceedings; Том 2027).

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › рецензирование

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