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Matematicheskie Zametki, 2005, Volume 77, Issue 1, Pages 16–27
DOI: https://doi.org/10.4213/mzm2465
(Mi mzm2465)
 

This article is cited in 1 scientific paper (total in 1 paper)

Asymptotics of the reduced logarithmic capacity of a narrow cylinder

I. I. Argatov

Admiral Makarov State Maritime Academy
Full-text PDF (211 kB) Citations (1)
References:
Abstract: We consider the Dirichlet problem for the Laplace operator in the exterior of a narrow infinite cylinder with periodically varying directrix. The solution is sought in the class of functions logarithmically increasing as the distance from the cylinder is increased. The reduced logarithmic capacity is defined as a generalization of the logarithmic capacity (of the outer conformal radius).We construct and justify the asymptotics of the solution of the problem as the ratio of the diameter of the cross-section of the cylinder to its period tends to zero.
Received: 21.02.2003
English version:
Mathematical Notes, 2005, Volume 77, Issue 1, Pages 15–25
DOI: https://doi.org/10.1007/s11006-005-0002-6
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: I. I. Argatov, “Asymptotics of the reduced logarithmic capacity of a narrow cylinder”, Mat. Zametki, 77:1 (2005), 16–27; Math. Notes, 77:1 (2005), 15–25
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm2465
  • https://www.mathnet.ru/eng/mzm/v77/i1/p16
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Математические заметки Mathematical Notes
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    Full-text PDF :187
    References:63
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