Nonlinear dynamics of short traveling capillary-gravity waves

dc.contributorUniversidad National de Buenos Aires
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUniversité Montpellier II
dc.date.accessioned2014-05-27T11:21:16Z
dc.date.accessioned2022-10-05T17:55:42Z
dc.date.available2014-05-27T11:21:16Z
dc.date.available2022-10-05T17:55:42Z
dc.date.created2014-05-27T11:21:16Z
dc.date.issued2005-02-01
dc.identifierPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 71, n. 2, 2005.
dc.identifier1539-3755
dc.identifier1550-2376
dc.identifierhttp://hdl.handle.net/11449/68124
dc.identifier10.1103/PhysRevE.71.026307
dc.identifier2-s2.0-41349092357
dc.identifier2-s2.0-41349092357.pdf
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/3917704
dc.description.abstractWe establish a Green-Nagdhi model equation for capillary-gravity waves in (2+1) dimensions. Through the derivation of an asymptotic equation governing short-wave dynamics, we show that this system possesses (1 + 1) traveling-wave solutions for almost all the values of the Bond number θ (the special case θ=1/3 is not studied). These waves become singular when their amplitude is larger than a threshold value, related to the velocity of the wave. The limit angle at the crest is then calculated. The stability of a wave train is also studied via a Benjamin-Feir modulational analysis. ©2005 The American Physical Society.
dc.languageeng
dc.relationPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics
dc.rightsAcesso restrito
dc.sourceScopus
dc.subjectChiral
dc.subjectDefect structures
dc.subjectSplay
dc.subjectSuspended films
dc.subjectCrystal defects
dc.subjectCrystal orientation
dc.subjectDistortion (waves)
dc.subjectElasticity
dc.subjectIons
dc.subjectLaplace transforms
dc.subjectLight polarization
dc.subjectMathematical models
dc.subjectSuspensions (fluids)
dc.subjectThin films
dc.subjectViscosity of liquids
dc.subjectSmectic liquid crystals
dc.titleNonlinear dynamics of short traveling capillary-gravity waves
dc.typeArtigo


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