Email this article The problem of distributed control of emulsion vibrations of weakly viscous compressible liquids
- Authors: Egorova A.A.1, Shamaev A.S.2
-
Affiliations:
- MIREA – Russian Technological University
- IPMech RAS
- Issue: No 6 (2024)
- Pages: 41-45
- Section: MANAGEMENT OF SYSTEMS WITH DISTRIBUTED PARAMETERS
- URL: https://jdigitaldiagnostics.com/0002-3388/article/view/683136
- DOI: https://doi.org/10.31857/S0002338824060048
- EDN: https://elibrary.ru/svrboo
- ID: 683136
Cite item
Open Access
Access granted
Abstract
The problem of distributed control of oscillations of an effective (averaged) medium corresponding to a two-phase medium of slightly viscous liquids is considered. The averaged model is described by a boundary value problem for an integro-differential equation. It is shown that for this model, it is impossible to bring vibrations to a state of rest in a finite time by force action on the entire region.
Keywords
Full Text
About the authors
A. A. Egorova
MIREA – Russian Technological University
Author for correspondence.
Email: alena.andreevna.egorova@yandex.ru
Russian Federation, Moscow
A. S. Shamaev
IPMech RAS
Email: sham@rambler.ru
Russian Federation, Moscow
References
- Cанчес-Паленсия Э. Неоднородные среды и теория колебаний. М.: Мир, 1984.
- Пятницкий А.Л., Чечкин Г.А., Шамаев А.С. Усреднение. Методы и некоторые приложения. Новосибирск: Изд-во “Тамара Рожковская”, 2007.
- Nguetseng G. Asymptotic Analysis for a Staff Variational Problem Arising in Mathematics // SIAMJ. Math. Anal. 1990. V. 21. № 6. P. 1396–1414.
- Черноусько Ф.Л. Ограниченные управления в системах с распределенными параметрами // ПMM. 1992 Т. 56. Вып. 2. С. 179–191.
- Vlasov V.V., Gavrikov A.A., Ivanov S.A., Knyazkov D.Yu., Samarin V.A., Shamaev A.S. Spectral Properties of Combined Media // Mathematical Sciences. 2010. V. 164. № 6. P. 948–963.
- Гавриков А.А., Шамаев А.С. Некоторые вопросы акустики эмульсий // ДАН. 2010. Т. 434. № 1. С. 42–46.
- Ильин А.А. О спектре оператора Стокса // Функц. анализ и его приложения.2009. Т. 43. Вып. 4. С. 14–25.
- Cедлецкий А.М. Целые функции в анализе. https://math.msu.ru/sites/default/files/entire_functions.pdf
Supplementary files
