Email this article A Cliffed Cape Does Not Trap Water Waves in the Sea of Constant Depth
- Authors: Kuznetsov N.1
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Affiliations:
- Laboratory for Mathematical Modelling of Wave Phenomena Institute for Problems in Mechanical Engineering, RAS 61, V.O., Bol’shoy pr.
- Issue: Vol 231, No 3 (2018)
- Pages: 347-354
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241148
- DOI: https://doi.org/10.1007/s10958-018-3824-y
- ID: 241148
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Abstract
The water wave problem is considered for a class of semi-infinite domains each having its shore shaped as a cliffed cape. In particular, the free surface of a water domain is supposed to be an infinite sector whose vertex angle is greater than π, whereas the water layer lying under the free surface is of constant depth. Under these assumptions it is shown that there are no trapped mode solutions of the problem for all values of a non-dimensional spectral parameter; in other words, no point eigenvalues are embedded in the continuous spectrum of the problem.
About the authors
N. Kuznetsov
Laboratory for Mathematical Modelling of Wave Phenomena Institute for Problems in Mechanical Engineering, RAS 61, V.O., Bol’shoy pr.
Author for correspondence.
Email: nikolay.g.kuznetsov@gmail.com
Russian Federation, St. Petersburg, 199178
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