Opening gaps in the spectrum of the water-wave problem in a periodic channel |
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Authors: | S A Nazarov |
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Institution: | 1.Institute of Problems in Machine Science,Russian Academy of Sciences,St. Petersburg,Russia |
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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. |
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Keywords: | |
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