Abstract
It is proposed the method of an approximate solution to several variants of the problems describing 2D flow of the viscous incompressible fluid (see, e.g. [1]). The method is developed on the base of the asymptotic results for Green’s function of mixed boundary value problems to the Laplace equations established recently by V. Maz’ya and A. Movchan [2].
The following scenario are considered:
1) small fixed obstacle in the Hele-Shaw flow (see [3]);
2) moving stone in the Hele-Shaw (see [4]);
3) several fixed and moving stones/obstacles (moving clouds)in the Hele-Shaw flow (see [5]).
The following scenario are considered:
1) small fixed obstacle in the Hele-Shaw flow (see [3]);
2) moving stone in the Hele-Shaw (see [4]);
3) several fixed and moving stones/obstacles (moving clouds)in the Hele-Shaw flow (see [5]).
| Original language | English |
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| Publication status | Published - 2015 |
| Event | 8th international seminar "Analytical Methods of Analysis and Differential Equations" - Minsk, Belarus Duration: 14 Sept 2015 → 19 Sept 2015 |
Seminar
| Seminar | 8th international seminar "Analytical Methods of Analysis and Differential Equations" |
|---|---|
| Abbreviated title | AMADE-2015 |
| Country/Territory | Belarus |
| City | Minsk |
| Period | 14 Sept 2015 → 19 Sept 2015 |