کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642668 1341352 2007 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
High-frequency asymptotics of waves trapped by underwater ridges and submerged cylinders
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
High-frequency asymptotics of waves trapped by underwater ridges and submerged cylinders
چکیده انگلیسی

As is well-known, underwater ridges and submerged horizontal cylinders can serve as waveguides for surface water waves. For large values of the wavenumber k   in the direction the ridge, there is only one trapped wave (this was proved in Bonnet-Ben Dhia and Joly [Mathematical analysis of guided water waves, SIAM J. Appl. Math. 53 (1993) 1507–1550]. We construct asymptotics of these trapped waves and their frequencies as k→∞k→∞ by means of reducing the initial problem to a pair of boundary integral equations and then by applying the method of Zhevandrov and Merzon [Asymptotics of eigenfunctions in shallow potential wells and related problems, Amer. Math. Soc. Trans. 208 (2) (2003) 235–284], in order to solve them.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 204, Issue 2, 15 July 2007, Pages 356–362
نویسندگان
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