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Sibirskii Zhurnal Industrial'noi Matematiki, 2011, Volume 14, Number 2, Pages 15–20 (Mi sjim661)  
This article is cited in 29 scientific papers (total in 29 papers)

One class of nonscattering acoustic shells for a model of anisotropic acoustics

G. V. Alekseeva, V. G. Romanovb

a Institute of Applied Mathematics FEB RAS, Vladivostok, RUSSIA
b Sobolev Institute of Mathematics SB RAS, Novosibirsk, RUSSIA
Full-text PDF (223 kB) Citations (29)
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Abstract: We consider a model of linear acoustics describing diffraction of an acoustic wave on a local anisotropic inhomogeneity. Under study is the existence of inhomogeneities which do not scatter the incident acoustic fields that are generated by any exterior compactly supported sources. We prove the existence of the above-mentioned inhomogeneities. Some constructive way is given of constructing a class of anisotropic media depending on an arbitrary function of one variable. We obtain some explicit formulas that define the main parameters of the shell.
Keywords: acoustics equations, anisotropic media, nonscattering shells, compactly distributed sources.
Received: 13.09.2010
English version:
Journal of Applied and Industrial Mathematics, 2012, Volume 6, Issue 1, Pages 1–5
DOI: https://doi.org/10.1134/S1990478912010012
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: G. V. Alekseev, V. G. Romanov, “One class of nonscattering acoustic shells for a model of anisotropic acoustics”, Sib. Zh. Ind. Mat., 14:2 (2011), 15–20; J. Appl. Industr. Math., 6:1 (2012), 1–5
Citation in format AMSBIB
\Bibitem{AleRom11}
\by G.~V.~Alekseev, V.~G.~Romanov
\paper One class of nonscattering acoustic shells for a~model of anisotropic acoustics
\jour Sib. Zh. Ind. Mat.
\yr 2011
\vol 14
\issue 2
\pages 15--20
\mathnet{http://mi.mathnet.ru/sjim661}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2962149}
\transl
\jour J. Appl. Industr. Math.
\yr 2012
\vol 6
\issue 1
\pages 1--5
\crossref{https://doi.org/10.1134/S1990478912010012}
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    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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