Modulational instability analysis of surface-waves in the Bénard-Marangoni phenomenon

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dc.contributor.authorKraenkel, Roberto André [UNESP]
dc.contributor.authorManna, M. A.
dc.contributor.authorPereira, J. G. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversité de Montpellier II
dc.date.accessioned2014-05-27T11:18:01Z
dc.date.available2014-05-27T11:18:01Z
dc.date.issued1995-10-15
dc.description.abstractBy using the long-wave approximation, a system of coupled evolutions equations for the bulk velocity and the surface perturbations of a Bénard-Marangoni system is obtained. It includes nonlinearity, dispersion and dissipation, and it is interpreted as a dissipative generalization of the usual Boussinesq system of equations. Then, by considering that the Marangoni number is near the critical value M = -12, we show that the modulation of the Boussinesq waves is described by a perturbed Nonlinear Schrödinger Equation, and we study the conditions under which a Benjamin-Feir instability could eventually set in. The results give sufficient conditions for stability, but are inconclusive about the existence or not of a Benjamin-Feir instability in the long-wave limit. © 1995.en
dc.description.affiliationInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São Paulo, SP
dc.description.affiliationPhysique Mathématique et Théorique URA-CNRS 768 Université de Montpellier II, 34095 Montpellier Cedex 05
dc.description.affiliationUnespInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São Paulo, SP
dc.format.extent356-360
dc.identifierhttp://dx.doi.org/10.1016/0167-2789(95)00159-2
dc.identifier.citationPhysica D: Nonlinear Phenomena, v. 87, n. 1-4, p. 356-360, 1995.
dc.identifier.doi10.1016/0167-2789(95)00159-2
dc.identifier.issn0167-2789
dc.identifier.lattes1599966126072450
dc.identifier.scopus2-s2.0-22244492161
dc.identifier.urihttp://hdl.handle.net/11449/64641
dc.identifier.wosWOS:A1995TB22600046
dc.language.isoeng
dc.relation.ispartofPhysica D: Nonlinear Phenomena
dc.relation.ispartofjcr1.960
dc.relation.ispartofsjr0,861
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.titleModulational instability analysis of surface-waves in the Bénard-Marangoni phenomenonen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
unesp.author.lattes1599966126072450
unesp.author.orcid0000-0001-5602-5184[1]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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