Evolution of statistically inhomogeneous degenerate water wave quartets
dc.contributor.author | Stuhlmeier, Raphael | |
dc.contributor.author | Stiassnie, M | |
dc.date.accessioned | 2018-03-07T08:55:26Z | |
dc.date.available | 2018-03-07T08:55:26Z | |
dc.date.issued | 2018-01-28 | |
dc.identifier.issn | 1364-503X | |
dc.identifier.issn | 1471-2962 | |
dc.identifier.other | 20170101 | |
dc.identifier.uri | http://hdl.handle.net/10026.1/10997 | |
dc.description.abstract |
<jats:p>A discretized equation for the evolution of random surface wave fields on deep water is derived from Zakharov's equation, allowing for a general treatment of the stability and long-time behaviour of broad-banded sea states. It is investigated for the simple case of degenerate four-wave interaction, and the instability of statistically homogeneous states to small inhomogeneous disturbances is demonstrated. Furthermore, the long-time evolution is studied for several cases and shown to lead to a complex spatio-temporal energy distribution. The possible impact of this evolution on the statistics of freak wave occurrence is explored.</jats:p> <jats:p>This article is part of the theme issue ‘Nonlinear water waves’.</jats:p> | |
dc.format.extent | 0-0 | |
dc.format.medium | ||
dc.language | en | |
dc.language.iso | en | |
dc.publisher | Royal Society, The | |
dc.subject | surface water waves | |
dc.subject | inhomogeneous random waves | |
dc.subject | nonlinear interaction | |
dc.subject | instability | |
dc.title | Evolution of statistically inhomogeneous degenerate water wave quartets | |
dc.type | journal-article | |
dc.type | Journal Article | |
plymouth.author-url | http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000417922000014&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=11bb513d99f797142bcfeffcc58ea008 | |
plymouth.issue | 2111 | |
plymouth.volume | 376 | |
plymouth.publication-status | Published | |
plymouth.journal | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences | |
dc.identifier.doi | 10.1098/rsta.2017.0101 | |
plymouth.organisational-group | /Plymouth | |
plymouth.organisational-group | /Plymouth/Faculty of Science and Engineering | |
plymouth.organisational-group | /Plymouth/Faculty of Science and Engineering/School of Engineering, Computing and Mathematics | |
plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA | |
plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA/EXTENDED UoA 10 - Mathematical Sciences | |
plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA/UoA10 Mathematical Sciences | |
plymouth.organisational-group | /Plymouth/Users by role | |
plymouth.organisational-group | /Plymouth/Users by role/Academics | |
plymouth.organisational-group | /Plymouth/Users by role/Researchers in ResearchFish submission | |
dc.publisher.place | England | |
dcterms.dateAccepted | 2017-05-30 | |
dc.identifier.eissn | 1471-2962 | |
dc.rights.embargoperiod | Not known | |
rioxxterms.versionofrecord | 10.1098/rsta.2017.0101 | |
rioxxterms.licenseref.uri | http://www.rioxx.net/licenses/all-rights-reserved | |
rioxxterms.licenseref.startdate | 2018-01-28 | |
rioxxterms.type | Journal Article/Review |