DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cho, Yeunwoo | ko |
dc.date.accessioned | 2018-08-20T07:48:01Z | - |
dc.date.available | 2018-08-20T07:48:01Z | - |
dc.date.created | 2018-08-06 | - |
dc.date.created | 2018-08-06 | - |
dc.date.issued | 2018-07 | - |
dc.identifier.citation | PHYSICAL REVIEW E, v.98, no.1 | - |
dc.identifier.issn | 2470-0045 | - |
dc.identifier.uri | http://hdl.handle.net/10203/244831 | - |
dc.description.abstract | Longitudinal and transverse instabilities of gravity-capillary solitary waves on shallow water are investigated based on the numerical analysis of the fifth-order Kadomtsev-Petviashvili (KP) equation, which describes the wave phenomena on shallow water where the relevant Bond number is less than and close to 1/3. Two-dimensional (2D) depression gravity-capillary solitary waves are stable to longitudinal perturbations. 2D elevation gravity-capillary solitary waves are unstable to longitudinal perturbations and finally evolve into 2D depression gravity-capillary solitary waves. Three-dimensional (3D) finite-amplitude depression gravity-capillary solitary waves are stable to longitudinal perturbations. 3D finite-amplitude elevation gravity-capillary solitary waves are unstable to longitudinal perturbations and finally evolve into an oscillatory state between two different 3D finite-amplitude depression gravity-capillary solitary waves. 3D small-amplitude depression and elevation gravity-capillary solitary waves are unstable to dilation-type longitudinal perturbations and eventually evolve into an oscillatory state between two different 3D finite-amplitude depression gravity-capillary solitary waves. 3D small-amplitude depression and elevation gravity-capillary solitary waves are unstable to contraction-type longitudinal perturbations and eventually become dispersed out toward still water surface. Finally, 2D depression and elevation gravity-capillary solitary waves are unstable to transverse perturbations and eventually evolve into 3D finite-amplitude depression gravity-capillary solitary waves. Therefore, the only stable gravity-capillary solitary waves on shallow water are 3D finite-amplitude depression gravity-capillary solitary waves. In particular, based on the linear stability analysis, a theoretical proof is presented for the long-wave transverse instability of 2D depression and elevation gravity-capillary solitary waves on shallow water. | - |
dc.language | English | - |
dc.publisher | AMER PHYSICAL SOC | - |
dc.subject | APPLIED PRESSURE DISTRIBUTION | - |
dc.subject | STEADILY MOVING LOAD | - |
dc.subject | FREE-SURFACE FLOW | - |
dc.subject | DEEP-WATER | - |
dc.subject | TRANSVERSE INSTABILITY | - |
dc.subject | FLOATING ICE | - |
dc.subject | TENSION | - |
dc.subject | GENERATION | - |
dc.subject | DYNAMICS | - |
dc.title | Stability of gravity-capillary solitary waves on shallow water based on the fifth-order Kadomtsev-Petviashvili equation | - |
dc.type | Article | - |
dc.identifier.wosid | 000439414800004 | - |
dc.identifier.scopusid | 2-s2.0-85050494947 | - |
dc.type.rims | ART | - |
dc.citation.volume | 98 | - |
dc.citation.issue | 1 | - |
dc.citation.publicationname | PHYSICAL REVIEW E | - |
dc.identifier.doi | 10.1103/PhysRevE.98.012213 | - |
dc.contributor.localauthor | Cho, Yeunwoo | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | APPLIED PRESSURE DISTRIBUTION | - |
dc.subject.keywordPlus | STEADILY MOVING LOAD | - |
dc.subject.keywordPlus | FREE-SURFACE FLOW | - |
dc.subject.keywordPlus | DEEP-WATER | - |
dc.subject.keywordPlus | TRANSVERSE INSTABILITY | - |
dc.subject.keywordPlus | FLOATING ICE | - |
dc.subject.keywordPlus | TENSION | - |
dc.subject.keywordPlus | GENERATION | - |
dc.subject.keywordPlus | DYNAMICS | - |
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