| Article |
|---|
| Article name |
On Solution of Boundary-Value Problems for Laplace’s Equation on a Piecewise-Homogeneous Plane with Two Parallel Cracks |
| Authors |
Yakovleva , G.M. Senior teacher of the Department of Informatics, Computer Engineering and Applied Mathematics,, y.g.m@mail.ru |
| Bibliographic description |
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| Section |
Scientific Research |
| UDK |
517.956 |
| DOI |
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| Article type |
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| Annotation |
Boundary value problems in the half-plane and strip with two highly permeable cracks
perpendicular to the borders of the regions are considered. Solutions of these problems are
expressed via the solution of similar boundary value problems in homogeneous areas without
cracks.
|
| Key words |
boundary value problems, piecewise-homogeneous areas, highly permeable
film, method of convolution of Fourier expansions. |
| Article information |
|
| References |
1. Yakovleva G. M. O postroyenii osobykh tochek potentsialov na kusochno-odnorodnoy
ploskosti s dvumya parallelnymi treshchinami // Matematichesky analiz i ego prilozheniya.
2012. Vyp. 11 Izd-vo ZabGU. Chita. S. 50–58.
2. Kholodovsky S. Ye. Metod svyortyvaniya razlozheny Furye. Sluchay treshchiny (zavesy)
v neodnorodnom prostranstve // Differentsialnye uravneniya. 2009. T. 45. № 8. S. 1204–1208.
3. Kholodovsky S. Ye. Metod svyortyvaniya razlozheny Furye. Sluchay obobshchennykh
uslovy sopryazheniya tipa treshchiny (zavesy) v kusochno-neodnorodnykh sredakh //
Differentsialnye uravneniya. 2009. T. 45. № 6. S. 855–859.
4. Kholodovsky S. Ye. O reshenii zadach v tsilindrakh s dvumya parallelnymi
treshchinami // Matematichesky anliz i ego prilozhenii. 2011. Vyp. 10. ZabGGPU. Chita.
S. 56–62.
5. Kholodovsky S. Ye., Davidenko G. M. O reshenii krayevykh zadach v kusochno-
odnorodnykh tsilindrakh s dvumya parallelnymi zavesami // Uchyonye zapiski Zabaykalskogo
gosudarstvennogo gumanitarno-pedagogicheskogo universiteta. Ser. ¾Fizika, matematika,
tekhnika, tekhnologiya¿. 2012. № 3(44). Chita. S. 152–156. |
| Full article | On Solution of Boundary-Value Problems for Laplace’s Equation on a Piecewise-Homogeneous Plane with Two Parallel Cracks |
