𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the diffraction of Poincaré waves

✍ Scribed by P. A. Martin

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
111 KB
Volume
24
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The diffraction of tidal waves (Poincaré waves) by islands and barriers on water of constant finite depth is governed by the two‐dimensional Helmholtz equation. One effect of the Earth's rotation is to complicate the boundary condition on rigid boundaries: a linear combination of the normal and tangential derivatives is prescribed. (This would be an oblique derivative if the coefficients were real.) Corresponding boundary‐value problems are treated here using layer potentials, generalizing the usual approach for the standard exterior boundary‐value problems of acoustics. Singular integral equations are obtained for islands (scatterers with non‐empty interiors) whereas hypersingular integral equations are obtained for thin barriers. Copyright © 2001 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

On the Poincaré Problem
On the Poincaré Problem
✍ Sebastian Walcher 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 220 KB
On surface waves in diffraction gratings
On surface waves in diffraction gratings
✍ V. E. Grikurov; M. A. Lyalinov; P. Neittaanmäki; B. A. Plamenevskii 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 358 KB
Twisted Spherical Functions on the Finit
Twisted Spherical Functions on the Finite Poincaré Upper Half-Plane
✍ Jorge Soto-Andrade; Jorge Vargas 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 180 KB

In this note we compute explicit formulae for the twisted spherical functions for the finite analogue of (the double cover of) the classical Poincaré upper half-plane, in any characteristic, and we obtain a uniform description for them resembling the one given by [Curtis (1993, J. Algebra 157, 517-5