Skip to main content Accessibility help
×
Home

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

  • N. KUZNETSOV (a1), M. MCIVER (a2) and P. MCIVER (a2)

Abstract

Existing results on the linearized water-wave problem for a homogeneous fluid are extended to the case of a two-layer fluid. In particular, the appropriate form of Maz'ya's identity is presented and used to obtain results on the uniqueness of the solutions to forcing problems for a structure in a two-layer fluid. Further, examples of geometries are constructed for which trapped modes occur; such modes are finite-energy solutions of the unforced problem and provide examples of non-uniqueness.

Copyright

MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

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

  • N. KUZNETSOV (a1), M. MCIVER (a2) and P. MCIVER (a2)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed