| Article |
|---|
| Article name |
Solving Boundary Value Problems on the Plane with Parallel Lines of Permeability Discontinuity in Classical and Generalized Conjugation Conditions |
| Authors |
Davidenko, G.M. Senior Lecturer, 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 |
This paper solves the boundary value problem for the Laplace equation on a piecewise-
homogeneous plane consisting of three zones with different permeability. On the borders of
these zones classical and generalized conjunction conditions are executed. They correspond
with an ideal contact and a strongly permeable crack. To solve the problem the method of
convolution of Fourier expansions is used that allows expressing the potentials of each zone
through the given harmonic function with the preservation of its singular points.
|
| Key words |
singular points of harmonic functions, Laplace equation, strongly permeable
cracks, piecewise-homogeneous zones, method of convolution of Fourier expansions |
| Article information |
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| References |
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| Full article | Solving Boundary Value Problems on the Plane with Parallel Lines of Permeability Discontinuity in Classical and Generalized Conjugation Conditions |
