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Existence and large time behavior for generalized Kelvin-Voigt equations governing nonhomogeneous and incompressible fluids Научная публикация

Конференция ALL-RUSSIAN CONFERENCE AND SCHOOL FOR YOUNG SCIENTISTS, DEVOTED TO 100TH ANNIVERSARY OF ACADEMICIAN L.V. OVSIANNIKOV "MATHEMATICAL PROBLEMS OF CONTINUUM MECHANICS"
13-17 мая 2019 , Новосибирск
Журнал Journal of Physics: Conference Series
ISSN: 1742-6588
Вых. Данные Год: 2019, Том: 1268, Номер: 1, Страницы: 012008 Страниц : 1 DOI: 10.1088/1742-6596/1268/1/012008
Авторы Antontsev S N 1,2 , de Oliveira H B 2,3 , Khompysh Kh 4
Организации
1 Lavrentyev Institute of Hydrodynamics
2 CMAF - CIO, University of Lisbon
3 FCT - Universidade do Algarve
4 Al-Farabi Kazakh National University

Реферат: Generalized Kelvin-Voigt equations governing nonhomogeneous and incompressible fluids are considered in this work. We assume that, in the momentum equation, the diffusion and relaxation terms are described by two distinct power-laws. Moreover, we assume that the momentum equation is perturbed by an extra term, which, depending on whether its signal is positive or negative, may account for the presence of a source or a sink within the system. For the associated initial-boundary value problem, we study the existence of weak solutions as well as the large time behavior of the solutions.
Библиографическая ссылка: Antontsev S.N. , de Oliveira H.B. , Khompysh K.
Existence and large time behavior for generalized Kelvin-Voigt equations governing nonhomogeneous and incompressible fluids
Journal of Physics: Conference Series. 2019. V.1268. N1. P.012008. DOI: 10.1088/1742-6596/1268/1/012008 Scopus РИНЦ OpenAlex
Идентификаторы БД:
Scopus: 2-s2.0-85073885999
РИНЦ: 41808515
OpenAlex: W2959203265
Цитирование в БД:
БД Цитирований
Scopus 12
OpenAlex 11
РИНЦ 9
Альметрики: