Article |
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Article name |
Dynamical Processes in Flat Areas with Film Inclusion |
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 |
532.546 |
DOI |
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Article type |
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Annotation |
The task of constructing a potential steady-state processes (heat conduction, fluid filtration, diffusion) on piecewise homogeneous plane with the film including in the form of thin strongly or weakly permeable layer is considered. Process is induced with the given singular points (sources, sinks, etc.). The potentials are expressed in quadratures in terms of harmonic functions with preservation of the type of singular points. It is shown that these formulas also express solving of boundary value problems in a half-plane and strip with the film including through the solution of the classic similar problems without the film.
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Key words |
singular points of potential, boundary value problems, piecewise homogeneous areas, strongly permeable film, weakly permeable film. |
Article information |
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References |
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Full article | Dynamical Processes in Flat Areas with Film Inclusion |