Article
Article name Solving Third Boundary Value Problems in Piecewise-homogeneous Half-plane with a Crack (Screen)
Authors Shadrina N.N.Senior teacher of the Department of Informatics, Computer Engineering and Applied Mathematics shadrinann8@yandex.ru
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DOI
UDK 517.956
Article type
Annotation The article considers the third boundary value problems in the piecewise-homogeneous half-plane with two lines of permeability discontinuity, one of which is parallel and another one is perpendicular to the boundary of the half-plane. The first line is an ideal contact medium, and the second line is a highly permeable fracture or a weakly permeable screen. Applying the method of convolution of Fourier expansions, the problems solutions are expressed in terms of the classical solution of the Dirichlet problem in the homogeneous half-plane (without a crack or a screen).
Key words boundary value problems, piecewise-homogeneous half-plane, fracture, screen, method of convolution of Fourier expansions.
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Full articleSolving Third Boundary Value Problems in Piecewise-homogeneous Half-plane with a Crack (Screen)