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Sbornik: Mathematics, 2012, Volume 203, Issue 9, Pages 1269–1294
DOI: https://doi.org/10.1070/SM2012v203n09ABEH004264 (Mi sm7894) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Concentration of frequencies of trapped waves in problems on freely floating bodies

S. A. Nazarov

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg
English version PDF (469 kB) Citations (3)
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DOI: https://doi.org/10.1070/SM2012v203n09ABEH004264
Abstract: It is shown that by choosing the shape of two identical bodies floating freely in a channel with symmetric cross-section it is possible to form any pre-assigned number of linearly independent trapped waves (localized solutions).
Bibliography: 27 titles.
Keywords: trapped surface waves, trapped modes, localized solutions, freely floating body, concentration of the point spectrum.
Received: 01.06.2011
Russian version:
Matematicheskii Sbornik, 2012, Volume 203, Number 9, Pages 41–66
DOI: https://doi.org/10.4213/sm7894
Bibliographic databases:
Document Type: Article
UDC: 517.958+517.984.46+539.327.13
MSC: Primary 76B15; Secondary 35B51, 35P15, 35Q35
Language: English
Original paper language: Russian
Citation: S. A. Nazarov, “Concentration of frequencies of trapped waves in problems on freely floating bodies”, Mat. Sb., 203:9 (2012), 41–66; Sb. Math., 203:9 (2012), 1269–1294
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v203/i9/p41
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:544
    Russian version PDF:178
    English version PDF:9
    References:96
    First page:29
     
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