Real variable Hele-Shaw problem with kinetic undercooling
- Авторлар: Rogosin S.1
-
Мекемелер:
- Belarusian State University
- Шығарылым: Том 38, № 3 (2017)
- Беттер: 510-519
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199336
- DOI: https://doi.org/10.1134/S1995080217030210
- ID: 199336
Дәйексөз келтіру
Аннотация
It is considered the (slow) flow of the viscous incompressible fluid in the Hele-Shaw cell at presence of a rigid obstacle in the flow. A novel model for such a flow is proposed in terms of the parametrization of the boundary of the fluid front and Green’s function (or the Robin–Neumann function) for the Laplace equation in a doubly connected domain subject of the mixed boundary value problem (the Neumann problem on the boundary of the obstacle and the Robin problem on the fluid front). Preliminary results for asymptotic study of such Green’s function are presented too.
Авторлар туралы
S. Rogosin
Belarusian State University
Хат алмасуға жауапты Автор.
Email: rogosin@bsu.by
Белоруссия, Nezavisimosti Ave. 4, Minsk, 220030