Deterministic and stochastic theory for a resonant triad
dc.contributor.author | Andrade, D | |
dc.contributor.author | Stuhlmeier, Raphael | |
dc.date.accessioned | 2022-11-28T17:40:44Z | |
dc.date.available | 2022-11-28T17:40:44Z | |
dc.date.issued | 2022-11 | |
dc.identifier.issn | 0165-2125 | |
dc.identifier.issn | 1878-433X | |
dc.identifier.other | 103087 | |
dc.identifier.uri | http://hdl.handle.net/10026.1/20021 | |
dc.description.abstract |
We study a simple model of three resonantly-interacting nonlinear waves. Linear stability analysis allows for an easy identification of stable and unstable initial conditions. Subsequently, a reformulation of the problem allows us to establish the onset of phase coherence, demonstrating its critical role in the growth of instabilities. Furthermore, we are able to provide explicit expressions for the time-varying moments of the modal amplitudes, as well as for the bispectrum which measures phase coherence. We provide direct insight into the long-time statistics of the system without Monte-Carlo simulation. This includes long-time asymptotics, which show that the system desynchronises, leading to the convergence of the second order moments and decay in the bispectrum. | |
dc.format.extent | 103087-103087 | |
dc.language | en | |
dc.language.iso | en | |
dc.publisher | Elsevier BV | |
dc.subject | Wave-wave interaction | |
dc.subject | Triad resonance | |
dc.subject | Phase coherence | |
dc.subject | Phase-locking | |
dc.title | Deterministic and stochastic theory for a resonant triad | |
dc.type | journal-article | |
dc.type | Journal Article | |
plymouth.author-url | https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000904428600001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=11bb513d99f797142bcfeffcc58ea008 | |
plymouth.volume | 116 | |
plymouth.publication-status | Published | |
plymouth.journal | Wave Motion | |
dc.identifier.doi | 10.1016/j.wavemoti.2022.103087 | |
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 | |
dcterms.dateAccepted | 2022-10-26 | |
dc.rights.embargodate | 2022-12-1 | |
dc.identifier.eissn | 1878-433X | |
rioxxterms.funder | Engineering and Physical Sciences Research Council | |
rioxxterms.identifier.project | Stochastic wave modelling for inhomogeneous sea-states | |
rioxxterms.versionofrecord | 10.1016/j.wavemoti.2022.103087 | |
rioxxterms.licenseref.uri | http://www.rioxx.net/licenses/all-rights-reserved | |
rioxxterms.type | Journal Article/Review | |
plymouth.funder | Stochastic wave modelling for inhomogeneous sea-states::Engineering and Physical Sciences Research Council |