Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping Научная публикация
| Журнал |
Nonlinear Differential Equations and Applications
ISSN: 1021-9722 |
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| Вых. Данные | Год: 2022, Том: 29, Номер: 5, Номер статьи : 60, Страниц : DOI: 10.1007/s00030-022-00794-z | ||||||||||
| Ключевые слова | Anisotropic PDEs; Existence; Kelvin-Voigt equations; Large time behavior; Nonhomogeneous and incompressible fluids; Power-laws | ||||||||||
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| Организации |
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Информация о финансировании (1)
| 1 | Министерство науки и высшего образования Российской Федерации | FWGG-2021-0010 |
Реферат:
In this work, we consider the nonlinear initial-boundary value problem posed by the Kelvin-Voigt equations for non-homogeneous and incompressible fluid flows with fully anisotropic diffusion, relaxation and damping. Moreover, we assume that the momentum equation is perturbed by a damping 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. In the particular case of considering this problem with a linear and isotropic relaxation term, we prove the existence of global and local weak solutions for the associated initial-boundary value problem supplemented with no-slip boundary conditions. When the damping term describes a sink, we establish the conditions for the polynomial time decay or for the exponential time decay of these solutions.
Библиографическая ссылка:
Antontsev S.N.
, de Oliveira H.B.
, Khompysh K.
Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping
Nonlinear Differential Equations and Applications. 2022. V.29. N5. 60 . DOI: 10.1007/s00030-022-00794-z WOS Scopus РИНЦ OpenAlex
Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping
Nonlinear Differential Equations and Applications. 2022. V.29. N5. 60 . DOI: 10.1007/s00030-022-00794-z WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 17 февр. 2021 г. |
| Принята к публикации: | 24 июн. 2022 г. |
| Опубликована в печати: | 11 июл. 2022 г. |
Идентификаторы БД:
| Web of science: | WOS:000824900300001 |
| Scopus: | 2-s2.0-85133928223 |
| РИНЦ: | 53032621 |
| OpenAlex: | W4285043782 |