On the Generalized Kinetic Equation for Surface Gravity Waves, Blow-Up and Its Restraint
dc.contributor.author | Andrade, David | |
dc.contributor.author | Stuhlmeier, Raphael | |
dc.contributor.author | Stiassnie, M | |
dc.date.accessioned | 2019-01-09T10:21:44Z | |
dc.date.issued | 2018-12-30 | |
dc.identifier.issn | 2311-5521 | |
dc.identifier.issn | 2311-5521 | |
dc.identifier.uri | http://hdl.handle.net/10026.1/13115 | |
dc.description.abstract |
<jats:p>This article is concerned with the non-linear interaction of homogeneous random ocean surface waves. Under this umbrella, numerous kinetic equations have been derived to study the evolution of the spectral action density, each employing slightly different assumptions. Using analytical and numerical tools, and providing exact formulas, we demonstrate that the recently derived generalized kinetic equation exhibits blow up in finite time for certain degenerate quartets of waves. This is discussed in light of the assumptions made in the derivation, and this equation is contrasted with other kinetic equations for the spectral action density.</jats:p> | |
dc.format.extent | 2-2 | |
dc.language | en | |
dc.language.iso | en | |
dc.publisher | MDPI | |
dc.title | On the Generalized Kinetic Equation for Surface Gravity Waves, Blow-Up and Its Restraint | |
dc.type | journal-article | |
dc.type | Journal Article | |
plymouth.issue | 1 | |
plymouth.volume | 4 | |
plymouth.publication-status | Published online | |
plymouth.journal | Fluids | |
dc.identifier.doi | 10.3390/fluids4010002 | |
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 | 2018-12-24 | |
dc.rights.embargodate | 2019-4-11 | |
dc.identifier.eissn | 2311-5521 | |
dc.rights.embargoperiod | Not known | |
rioxxterms.versionofrecord | 10.3390/fluids4010002 | |
rioxxterms.licenseref.uri | http://www.rioxx.net/licenses/all-rights-reserved | |
rioxxterms.licenseref.startdate | 2018-12-30 | |
rioxxterms.type | Journal Article/Review |