| Article |
|---|
| Article name |
Solution of the Problem of Fluid Filtration under a Point Dam in Two-Layer Half-Plane |
| Authors |
Yefimova I.A. Candidate of Physics and Mathematics, hol47@yandex.ru |
| Bibliographic description |
Efimova I. A. Solution of the Problem of Fluid Filtration under a Point Dam in Two-Layer Half-Plane // Scholarly Notes of Transbaikal State University. Series Physics, Mathematics, Engineering, Technology. 2018. Vol. 13, No. 4. PP. 6-10. DOI: 10.21209/2308-8761-2018-13-4-6- 10. |
| Section |
PROBLEMS OF MATHEMATICAL PHYSICS. ANALYTICAL METHODS |
| UDK |
532.546 |
| DOI |
10.21209/2308-8761-2018-13-4-6-10 |
| Article type |
|
| Annotation |
The first boundary value problem for the Laplace equation in half-plane with conjugation conditions on a horizontal line for piecewise constant boundary function is considered. The problem simulates fluid filtration under a point dam in a two-layer half-plane. The solution of the problem is obtained in single quadratures.
|
| Key words |
boundary value problems in piecewise homogeneous half-plane, conjugation conditions, filtration of a fluid under a dam |
| Article information |
|
| References |
1. Arsenin V. Ya. Metody matematicheskoy fiziki i spetsialnyye funktsii. M.: Nauka, 1974. 432 s.
2. Efimova I. A. Metod funktsii Grina v zadachakh filtratsii pod plotinami v neodnorodnykh anizotropnykh gruntakh: avtoref. dis. ... kand. fiz.-mat. nauk: 01.05.02. Chita, 1990. 24 s.
3. Prudnikov A. P.. Brychkov Yu. A.. Marichev О. I. Integraly i ryady. M.: Nauka, 1981. 798 s.
4. Fikhtengolts G. М. Kurs differentsialnogo i integralnogo ischisleniya. M.: Nauka, 1969. T. 3. 656 s. |
| Full article | Solution of the Problem of Fluid Filtration under a Point Dam in Two-Layer Half-Plane |
