| Article |
|---|
| Article name |
On the Solution of Regional Value Problems for the Poisson Equation in Flat Areas Bounded with Strongly and Weakly Permeable Films Connected in Series |
| Authors |
Kholodovsky S.Y. Doctor of Physics and Mathematics, hol47@yandex.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 |
The problem for the Laplace operator in the quadrant with bounded strongly and weakly
permeable films. Using the method of convolution of Fourier expansions the solution of the
problem expressed in terms of the mixed problem in this quadrant of the classical boundary
conditions of the first and second kind. It is shown that the method of conformal mappings
can extend the class of domains bounded system strongly and weakly permeable films.
|
| Key words |
boundary value problems, the boundaries of the film, strongly permeable film,
weakly permeable film, the method of convolution of Fourier expansions. |
| Article information |
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| References |
1. Kholodovskii S. E. O reshenii kraevykh zadach v poluprostranstve, ogranichennom
mnogosloinoi plenkoi // Uchenye zapiski ZabGGPU. Ser. ¾Fizika, matematika, tekhnika,
tekhnologiya¿. 2011. № 3(38). S. 160–164.
2. Kholodovskii S. E. Reshenie kraevykh zadach v polutsilindrakh s osnovaniem v vide
dvukhsloinoi plenki // Tezisy dokladov Mezhdunar. konf., posvyash. 105-letiyu so dnya
rozhdeniya S. L. Soboleva. Differentsial’nye uravneniya, funktsional’nye prostranstva, teoriya
priblizhenii. Institut matematiki im. S. L. Soboleva SO RAN. Novosibirsk, 2013. S. 283.
3. Kholodovskii S. E. Metod svertyvaniya razlozhenii Fur’e. Sluchai obobshchyonnykh
uslovii sopryazheniya tipa treshchiny (zavesy) v kusochno-neodnorodnykh sredakh //
Differentsial’nye uravneniya. 2009. T. 45. № 6. S. 855–859.
4. Kholodovskii S. E. Metod svertyvaniya razlozhenii Fur’e. Sluchai treshchiny (zavesy) v
neodnorodnom prostranstve // Differentsial’nye uravneniya. 2009. T. 45. № 8. S. 1204–1208.
5. Tikhonov A. N., Samarskii A. A. Uravneniya matematicheskoi fiziki. M.: Nauka, 1972. |
| Full article | On the Solution of Regional Value Problems for the Poisson Equation in Flat Areas Bounded with Strongly and Weakly Permeable Films Connected in Series |
