| Article |
|---|
| Article name |
On the Solution of the Poisson Equation on a Piecewise Homogeneous Plane with a Circular Inclusion |
| Authors |
Tokareva J.S. Candidate of Physics and Mathematics, jtokareva2@mail.ru |
| Bibliographic description |
Tokareva Yu. S. On the solution of the Poisson equation on a piecewise homogeneous plane with a circular inclusion // Scholarly Notes of Transbaikal State University. Series Physics, Mathematics, Engineering, Technology. 2018. Vol. 13, No. 4. PP. 17-23. DOI: 10.21209/2308- 8761-2018-13-4-17-23. |
| Section |
PROBLEMS OF MATHEMATICAL PHYSICS. ANALYTICAL METHODS |
| UDK |
517.956 |
| DOI |
10.21209/2308-8761-2018-13-4-17-23 |
| Article type |
|
| Annotation |
The problem for the Poisson equation on a piecewise homogeneous plane consisting of two homogeneous zones in the form of a circle and its appearance is considered. The solution of this problem is expressed by the method of convolution of Fourier expansions through the solution of a similar problem on a homogeneous plane.
|
| Key words |
boundary value problem in the circular piecewise-homogeneous domains, conjugation conditions, the method of convolution of Fourier expansions |
| Article information |
|
| References |
1. Balamirzoev A. G., Zerbaliev A. M., Selimhanov D. N. О resheniyah nekotoryh zadach teorii fil’tracii // Vestnik Dagestanskogo gosudarstvennogo tekhnicheskogo universiteta. Tekhnicheskie nauki. 2014. № 4. S. 27-36.
2. Golubeva О. V. Kurs mekhaniki sploshnyh sred. M.: Vyssh. shk., 1972. 364 s.
3. Polubarinova-Kochina P. Ya. Teoriya dvizheniya gruntovyh vod. M.: Nauka, 1977. 664 s.
4. Holodovskij S. E. Metod svyortyvaniya razlozhenij Fur’e. Sluchaj obobshchyonnyh uslovij sopryazheniya tipa treshchiny (zavesy) v kusochno-neodnorodnyh sredah // Differencial’nye uravneniya. 2009. T. 45, № 6. S. 855-859. (Kholodovskii S. E. The Convolution Method of Fourier Expansions. The Case of Generalized Transmission Conditions of Crack (Screen) Type in Piecewise Inhomogeneous Media // Differential Equations. 2009. Vol. 45, No. 6. Pp. 873-877).
5. Holodovskij S. E. Zadachi matematicheskoj fiziki v oblastyah s plyonochnymi vklyucheniyami i plyonochnymi granicami. CHita: ZabGU, 2017. 234 s. |
| Full article | On the Solution of the Poisson Equation on a Piecewise Homogeneous Plane with a Circular Inclusion |
