Loughborough University
Browse
02-20.pdf (190.29 kB)

Wave interaction with two-dimensional bodies floating in a two-layer fluid: uniqueness and trapped modes

Download (190.29 kB)
preprint
posted on 2005-08-25, 13:13 authored by N. Kuznetsov, Maureen McIver, Philip McIver
Existing results on the linearised water-wave problem for a homogeneous fluid are extended to the case of a two-layer fluid. In particular, the appropriate form of Mazya’s identity is presented and used to obtain uniqueness results, and examples of geometries are constructed for which trapped modes occur.

History

School

  • Science

Department

  • Mathematical Sciences

Pages

194852 bytes

Publication date

2002

Notes

This pre-print has been submitted, and accepted, to the journal, Journal of Fluid Mechanics [© Cambridge University Press]. The definitive version: KUZNETSOV, N., McIVER, M. and McIVER, P., 2003.Wave interaction with two-dimensional bodies floating in a two-layer fluid: uniqueness and trapped modes. Journal of Fluid Mechanics, 490, pp. 321-331, is available at: http://jfm-www.damtp.cam.ac.uk/.

Language

  • en

Usage metrics

    Loughborough Publications

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC