The kinematics and stability of solitary and cnoidal wave solutions of the Serre equations

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dc.contributor.authorCarter, John D.
dc.contributor.authorCienfuegos, Rodrigo
dc.date.accessioned2024-01-10T12:43:52Z
dc.date.available2024-01-10T12:43:52Z
dc.date.issued2011
dc.description.abstractThe Serre equations are a pair of strongly nonlinear, weakly dispersive, Boussinesq-type partial differential equations. They model the evolution of the surface elevation and the depth-averaged horizontal velocity of an inviscid, irrotational, incompressible, shallow fluid. They admit a three-parameter family of cnoidal wave solutions with improved kinematics when compared to KdV theory. We examine their linear stability and establish that waves with sufficiently small amplitude/steepness are stable while waves with sufficiently large amplitude/steepness are unstable. (C) 2010 Elsevier Masson SAS. All rights reserved.
dc.description.funderSchool of Engineering (PUC)
dc.description.funderECOS-Conicyt
dc.fechaingreso.objetodigital22-03-2024
dc.format.extent10 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.euromechflu.2010.12.002
dc.identifier.eissn1873-7390
dc.identifier.issn0997-7546
dc.identifier.urihttps://doi.org/10.1016/j.euromechflu.2010.12.002
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/77628
dc.identifier.wosidWOS:000291071200001
dc.information.autorucIngeniería;Cienfuegos R;S/I;8598
dc.issue.numero3
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final268
dc.pagina.inicio259
dc.publisherELSEVIER
dc.revistaEUROPEAN JOURNAL OF MECHANICS B-FLUIDS
dc.rightsacceso restringido
dc.subjectSerre
dc.subjectStability
dc.subjectKinematics
dc.subjectNonlinear
dc.subjectBOUSSINESQ-TYPE EQUATIONS
dc.subjectKORTEWEG-DEVRIES EQUATION
dc.subjectFINITE-VOLUME SCHEME
dc.subjectDE-VRIES EQUATION
dc.subjectLINEAR-STABILITY
dc.subjectWATER-WAVES
dc.subjectLONG WAVES
dc.subjectDERIVATION
dc.subjectSHALLOW
dc.subjectMODEL
dc.subject.ods14 Life Below Water
dc.subject.odspa14 Vida submarina
dc.titleThe kinematics and stability of solitary and cnoidal wave solutions of the Serre equations
dc.typeartículo
dc.volumen30
sipa.codpersvinculados8598
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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