The asymptotic form of the spectrum of tidal Kelvin waves trapped by a boundary at large values of the lamb parameter

✍ Scribed by D.B. Rokhlin

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 277 KB
• Volume: 63
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/s0021-8928(99)00007-6

✦ Synopsis

Tidal Laplace equations are considered and the asymptotic form of the eigenvalues corresponding to eigenfunctions (Kelvin waves) concentrated in the neighbourhood of a closed component of the boundary are constructed for large values of the Lamb parameter, which is proportional to the square of the angular velocity of rotation of the reservoir. The formulae obtained determine the asymptotic behaviour of the kth eigenvalue in the case of a planar, simply connected reservoir of constant depth.