Article
Article name On the Solution of the Dirichlet Problem in a Piecewise Homogeneous Band with the Two-layer Film Inclusion
Authors Kuznetsova N.V. Senior Teacher, pestryakovi@mail.ru
Bibliographic description
Section Scientific Research
UDK 517.956
DOI
Article type
Annotation Consider the Dirichlet problem for the Laplace equation in a piecewise homogeneous band D(x ∈ R) = D1(x < 0) ∪ D2(x > 0), 0 < y < π of permeability ki in the Di. Regions Di are separated by an infinitely thin two-layer film x = 0consisting of a hard and low permeability layers. Solution of the problem is expressed in terms of the classical solution of the Dirichlet problem in a homogeneous band without film.
Key words boundary value problems in the band, two-layer film inclusion, strongly permeable film, weakly permeable film, method of convolution of Fourier expansions.
Article information
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Full articleOn the Solution of the Dirichlet Problem in a Piecewise Homogeneous Band with the Two-layer Film Inclusion