TRAPPED MODES IN AN AXISYMMETRICAL WATER-WAVE PROBLEM

Authors
MCIVER P MCIVER M
Citation
P. Mciver et M. Mciver, TRAPPED MODES IN AN AXISYMMETRICAL WATER-WAVE PROBLEM, Quarterly Journal of Mechanics and Applied Mathematics, 50, 1997, pp. 165-178
Citations number
13
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,Mechanics,Mathematics
Journal title
Quarterly Journal of Mechanics and Applied Mathematics → ACNP
ISSN journal
00335614
Volume
50
Year of publication
1997
Part
2
Pages
165 - 178
Database
ISI
SICI code
0033-5614(1997)50:<165:TMIAAW>2.0.ZU;2-Q
Abstract
Trapped-mode solutions, that is, examples of non-uniqueness, are given for a class of axisymmetric problems in the linearized theory of the interaction of water waves with structures. The solutions are construc ted by placing an axisymmetric ring source in the free surface with th e radius of the ring chosen to eliminate radial circular waves. The ri ng-source potential then corresponds to a localized standing wave. Sui table structural surfaces are obtained by looking for stream surfaces of the flow.