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On the Stabilization of the Solution to the Initial Boundary Value Problem for One-Dimensional Isothermal Equations of Viscous Compressible Multicomponent Media Dynamics Научная публикация

Журнал Mathematics
ISSN: 2227-7390
Вых. Данные Год: 2023, Том: 11, Номер: 14, Номер статьи : 3065, Страниц : 11 DOI: 10.3390/math11143065
Ключевые слова viscous compressible medium; multicomponent flows; stabilization of solution; stabilization rate
Авторы Prokudin Dmitriy 1
Организации
1 Lavrentyev Institute of Hydrodynamics of the Siberian Branch of the Russian Academy of Sciences

Информация о финансировании (1)

1 Российский научный фонд 23-21-00381

Реферат: An initial boundary value problem is considered for one-dimensional isothermal equations of the dynamics of viscous compressible multicomponent media, which are a generalization of the Navier–Stokes equations. The stabilization of the solution to the initial boundary value problem is proven while the time tends to infinity, without simplifying assumptions for the structure of the viscosity matrix, except for the standard physical requirements of symmetry and positive definiteness. It is shown that the stabilization of the solution is exponential.
Библиографическая ссылка: Prokudin D.
On the Stabilization of the Solution to the Initial Boundary Value Problem for One-Dimensional Isothermal Equations of Viscous Compressible Multicomponent Media Dynamics
Mathematics. 2023. V.11. N14. 3065 :1-11. DOI: 10.3390/math11143065 WOS Scopus РИНЦ OpenAlex
Даты:
Поступила в редакцию: 15 июн. 2023 г.
Принята к публикации: 10 июл. 2023 г.
Опубликована online: 11 июл. 2023 г.
Идентификаторы БД:
Web of science: WOS:001037616700001
Scopus: 2-s2.0-85166204101
РИНЦ: 54773740
OpenAlex: W4384036796
Цитирование в БД:
БД Цитирований
OpenAlex 1
РИНЦ 2
Scopus 4
Web of science 3
Альметрики: