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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 11, Pages 1931–1936 (Mi zvmmf4780)  
This article is cited in 1 scientific paper (total in 1 paper)

Solution of boundary value problems for Laplace's equation in a piecewise homogeneous plane with a parabolic crack (screen)

S. E. Kholodovskii

Chernyshevsky Transbaikalian State Humanitarian and Pedagogical University, ul. Babushkina 129, Chita, 672007, Russia
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Abstract: Boundary value problems for Laplace's equation are considered in a piecewise homogeneous plane divided into two zones by a strongly permeable crack or a weakly permeable screen in the form of a parabola. The desired potentials have prescribed singular points (sources, sinks, etc.). Formulas are derived expressing the potentials in terms of harmonic functions that have the given singular points and describe similar processes in a homogeneous plane.
Key words: problems of mathematical physics in piecewise homogeneous media, parabolic crack (screen), convolution of Fourier expansions, Laplace's equation.
Received: 30.03.2009
Revised: 13.05.2009
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 11, Pages 1847–1852
DOI: https://doi.org/10.1134/S0965542509110037
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. E. Kholodovskii, “Solution of boundary value problems for Laplace's equation in a piecewise homogeneous plane with a parabolic crack (screen)”, Zh. Vychisl. Mat. Mat. Fiz., 49:11 (2009), 1931–1936; Comput. Math. Math. Phys., 49:11 (2009), 1847–1852
Citation in format AMSBIB
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\paper Solution of boundary value problems for Laplace's equation in a~piecewise homogeneous plane with a~parabolic crack (screen)
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\issue 11
\pages 1931--1936
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\jour Comput. Math. Math. Phys.
\yr 2009
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\pages 1847--1852
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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