Self-similar Elastic Condition of Filtration Through the Moving Boundary
- Авторы: Khabirov S.1, Khabirov S.1
-
Учреждения:
- Mavlyutov Institute of Mechanics Ufa Federal Research Center
- Выпуск: Том 40, № 11 (2019)
- Страницы: 1950-1958
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/206187
- DOI: https://doi.org/10.1134/S1995080219110167
- ID: 206187
Цитировать
Аннотация
We consider the one-dimensional problem of the elastic filtration of a fluid though the moving boundary. The boundary conditions are introduced so that the problem be invariant. The invariant problem is reduced to a overdetermine boundary task for the Weber equation. Exact solutions are found. The asymptotic of a solution in infinite point determines the invariant law of a filtration according to the given boundary conditions. There is a connection between overdetermine invariant boundary conditions for any invariant law of a filtration.
Об авторах
S. Khabirov
Mavlyutov Institute of Mechanics Ufa Federal Research Center
Автор, ответственный за переписку.
Email: habirov1@anrb.ru
Россия, Ufa, 450054
S. Khabirov
Mavlyutov Institute of Mechanics Ufa Federal Research Center
Автор, ответственный за переписку.
Email: salavat.s.khabirov@gmail.com
Россия, Ufa, 450054