Stability of Symmetric Solitary Wave Solutions of a Forced Korteweg-de Vries Equation and the Polynomial Chaos
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Hongjoong | - |
dc.contributor.author | Moon, Kyoung-Sook | - |
dc.date.accessioned | 2021-09-06T12:15:43Z | - |
dc.date.available | 2021-09-06T12:15:43Z | - |
dc.date.created | 2021-06-14 | - |
dc.date.issued | 2012-12 | - |
dc.identifier.issn | 2070-0733 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/106701 | - |
dc.description.abstract | In this paper, we consider the numerical stability of gravity-capillary waves generated by a localized pressure in water of finite depth based on the forced Korteweg-de Vries (FKdV) framework and the polynomial chaos. The stability studies are focused on the symmetric solitary wave for the subcritical flow with the Bond number greater than one third. When its steady symmetric solitary-wave-like solutions are randomly perturbed, the evolutions of some waves show stability in time regardless of the randomness while other waves produce unstable fluctuations. By representing the perturbation with a random variable, the governing FKdV equation is interpreted as a stochastic equation. The polynomial chaos expansion of the random solution has been used for the study of stability in two ways. First it allows us to identify the stable solution of the stochastic governing equation. Secondly it is used to construct upper and lower bounding surfaces for unstable solutions, which encompass the fluctuations of waves. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | GLOBAL SCIENCE PRESS | - |
dc.subject | FREE-SURFACE FLOW | - |
dc.subject | 2-LAYER FLUID | - |
dc.subject | GRAVITY | - |
dc.title | Stability of Symmetric Solitary Wave Solutions of a Forced Korteweg-de Vries Equation and the Polynomial Chaos | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Hongjoong | - |
dc.identifier.doi | 10.4208/aamm.12-12S12 | - |
dc.identifier.scopusid | 2-s2.0-84873312500 | - |
dc.identifier.wosid | 000314401400013 | - |
dc.identifier.bibliographicCitation | ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, v.4, no.6, pp.833 - 847 | - |
dc.relation.isPartOf | ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | - |
dc.citation.title | ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | - |
dc.citation.volume | 4 | - |
dc.citation.number | 6 | - |
dc.citation.startPage | 833 | - |
dc.citation.endPage | 847 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalResearchArea | Mechanics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mechanics | - |
dc.subject.keywordPlus | FREE-SURFACE FLOW | - |
dc.subject.keywordPlus | 2-LAYER FLUID | - |
dc.subject.keywordPlus | GRAVITY | - |
dc.subject.keywordAuthor | Stability | - |
dc.subject.keywordAuthor | solitary waves | - |
dc.subject.keywordAuthor | polynomial chaos | - |
dc.subject.keywordAuthor | forced Korteweg-de Vries equation | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
(02841) 서울특별시 성북구 안암로 14502-3290-1114
COPYRIGHT © 2021 Korea University. All Rights Reserved.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.