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Zapiski Nauchnykh Seminarov POMI, 1992, Volume 200, Pages 27–37 (Mi znsl5089)  
This article is cited in 1 scientific paper (total in 1 paper)

Three problems in the theory of continuous media in polyhedrons

M. Sh. Birman
Full-text PDF (538 kB) Citations (1)
Abstract: Next problems are considered: the problem of electromagnetic oscillations of a hollow resonator with an ideally conductive boundary; steady-state Stokes equations under conditions of slippery walls; the problem of elasticity theory under the boundary condition of a rigid contact. Formally in polyhedral domains all three problems are the same. It is shown that in an interesting sense such coincidence is realized in convex polyhedrons only. Related effects are discussed.
English version:
Journal of Mathematical Sciences, 1995, Volume 77, Issue 3, Pages 3153–3160
DOI: https://doi.org/10.1007/BF02364704
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: M. Sh. Birman, “Three problems in the theory of continuous media in polyhedrons”, Boundary-value problems of mathematical physics and related problems of function theory. Part 24, Zap. Nauchn. Sem. POMI, 200, Nauka, St. Petersburg, 1992, 27–37; J. Math. Sci., 77:3 (1995), 3153–3160
Citation in format AMSBIB
\Bibitem{Bir92}
\by M.~Sh.~Birman
\paper Three problems in the theory of continuous media in polyhedrons
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 1992
\vol 200
\pages 27--37
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5089}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1192110}
\zmath{https://zbmath.org/?q=an:0836.35148|0801.35132}
\transl
\jour J. Math. Sci.
\yr 1995
\vol 77
\issue 3
\pages 3153--3160
\crossref{https://doi.org/10.1007/BF02364704}
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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
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