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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 6, Pages 1092–1108 (Mi zvmmf4893)  
This article is cited in 3 scientific papers (total in 3 papers)

Formation of gaps in the spectrum of the problem of waves on the surface of a periodic channel

S. A. Nazarov

Institute of Problems of Machine Science, Russian Academy of Sciences, Vasil'evskii Ostrov, Bol'shoi pr. 61, St. Petersburg, 199178 Russia
Full-text PDF (364 kB) Citations (3)
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Abstract: It is shown that the essential spectrum of a problem in the theory of linear water waves in a periodic channel can contain any prescribed number of gaps. One of such waveguides consists of a periodic family of identical ponds of unit size connected by narrow shallow channels. The effect of gap opening is achieved by decreasing a geometric parameter describing the size of these channels.
Key words: linear water wave theory, essential spectrum, gaps in spectrum.
Received: 03.06.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 6, Pages 1038–1054
DOI: https://doi.org/10.1134/S0965542510060102
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. A. Nazarov, “Formation of gaps in the spectrum of the problem of waves on the surface of a periodic channel”, Zh. Vychisl. Mat. Mat. Fiz., 50:6 (2010), 1092–1108; Comput. Math. Math. Phys., 50:6 (2010), 1038–1054
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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