Waves in the Presence of an Infinite Dock with Gap
- 1 June 1970
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 6 (2) , 141-156
- https://doi.org/10.1093/imamat/6.2.141
Abstract
After extending some completeness results of an earlier paper, the two-dimensional problem of the infinite dock with gap is considered. With σ the frequency and 2 the non-dimensional length of the gap, eigenvalues of K = σ2/g are first computed and then their apparent asymptotic form is established not only to order K−1 but also up to terms in K−2.Keywords
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