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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 106, Number 1, Pages 24–43
DOI: https://doi.org/10.4213/tmf1095 (Mi tmf1095) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On scattering by cylinder with narrow slit and with shell of finite depth

R. R. Gadyl'shin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/tmf1095
Abstract: The method of matching asymptotic expansions is applied to construction of asymptotics of poles for the Green function analytic continuation of a two-dimensional analog of Helmholtz resonator with a shell of a finite depth and with Neumann's boundary condition. The explicit formulae for the principle terms of asymptotics of poles, for corresponding generalized eigenfunctions and for solutions of scattering problem are obtained.
Received: 07.12.1994
English version:
Theoretical and Mathematical Physics, 1996, Volume 106, Issue 1, Pages 19–34
DOI: https://doi.org/10.1007/BF02070760
Bibliographic databases:
Language: Russian
Citation: R. R. Gadyl'shin, “On scattering by cylinder with narrow slit and with shell of finite depth”, TMF, 106:1 (1996), 24–43; Theoret. and Math. Phys., 106:1 (1996), 19–34
Citation in format AMSBIB
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\paper On scattering by cylinder with narrow slit and with shell of finite depth
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\pages 24--43
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\jour Theoret. and Math. Phys.
\yr 1996
\vol 106
\issue 1
\pages 19--34
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  • https://doi.org/10.4213/tmf1095
  • https://www.mathnet.ru/eng/tmf/v106/i1/p24
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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