dc.contributorUniversité Paris 7
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorInstituto de Matemática Pura e Aplicada
dc.date.accessioned2014-05-27T11:22:37Z
dc.date.accessioned2022-10-05T18:08:52Z
dc.date.available2014-05-27T11:22:37Z
dc.date.available2022-10-05T18:08:52Z
dc.date.created2014-05-27T11:22:37Z
dc.date.issued2007-10-12
dc.identifierPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 76, n. 4, 2007.
dc.identifier1539-3755
dc.identifier1550-2376
dc.identifierhttp://hdl.handle.net/11449/69937
dc.identifier10.1103/PhysRevE.76.046311
dc.identifier2-s2.0-35248899504
dc.identifier2-s2.0-35248899504.pdf
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/3919304
dc.description.abstractIn this paper, we consider the propagation of water waves in a long-wave asymptotic regime, when the bottom topography is periodic on a short length scale. We perform a multiscale asymptotic analysis of the full potential theory model and of a family of reduced Boussinesq systems parametrized by a free parameter that is the depth at which the velocity is evaluated. We obtain explicit expressions for the coefficients of the resulting effective Korteweg-de Vries (KdV) equations. We show that it is possible to choose the free parameter of the reduced model so as to match the KdV limits of the full and reduced models. Hence the reduced model is optimal regarding the embedded linear weakly dispersive and weakly nonlinear characteristics of the underlying physical problem, which has a microstructure. We also discuss the impact of the rough bottom on the effective wave propagation. In particular, nonlinearity is enhanced and we can distinguish two regimes depending on the period of the bottom where the dispersion is either enhanced or reduced compared to the flat bottom case. © 2007 The American Physical Society.
dc.languageeng
dc.relationPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics
dc.rightsAcesso restrito
dc.sourceScopus
dc.subjectAsymptotic analysis
dc.subjectMathematical models
dc.subjectProblem solving
dc.subjectVelocity measurement
dc.subjectWave propagation
dc.subjectMultiscale asymptotic analysis
dc.subjectOptimal Boussinesq models
dc.subjectShallow water waves
dc.subjectNonlinear equations
dc.titleOptimal Boussinesq model for shallow-water waves interacting with a microstructure
dc.typeArtigo


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