Permanent wave structures and resonant triads in a layered fluid

dc.contributor.author	Bryant, Peter John
dc.contributor.author	Laing, Andrew Kenneth
dc.date.accessioned	2015-12-16T00:46:03Z
dc.date.available	2015-12-16T00:46:03Z
dc.date.issued	1978	en
dc.description.abstract	A closed three layer fluid with small density differences between the layers has two closely related modes of gravity wave propagation. The nonlinear interactions between the wave modes are investigated, particularly the nearly resonant or significant interactions. Permanent wave solutions are calculated, and it is shown that a permanent wave of the slower mode can generate resonantly a wave harmonic of the faster mode. The equations governing resonant triads of the two modes are derived, and solutions having a permanent structure are calculated from them. It is found that some resonant triad solutions vanish when the triad is embedded in the set of all harmonics with wavenumbers in its neighbourhood.	en
dc.identifier.uri	http://hdl.handle.net/10092/11630
dc.language.iso	en
dc.publisher	University of Canterbury. Dept. of Mathematics	en
dc.relation.isreferencedby	NZCU
dc.rights	Copyright Peter John Bryant	en
dc.subject.anzsrc	Field of Research::01 - Mathematical Sciences	en
dc.title	Permanent wave structures and resonant triads in a layered fluid	en
dc.type	Discussion / Working Papers
uc.bibnumber	95279
uc.college	Faculty of Engineering

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