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dc.contributor.authorKraenkel, Roberto André-
dc.contributor.authorManna, M. A.-
dc.contributor.authorPereira, J. G.-
dc.identifier.citationPhysica D: Nonlinear Phenomena, v. 87, n. 1-4, p. 356-360, 1995.-
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.titleModulational instability analysis of surface-waves in the Bénard-Marangoni phenomenonen
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
dc.contributor.institutionUniversité de Montpellier II-
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.rights.accessRightsAcesso restrito-
dc.relation.ispartofPhysica D: Nonlinear Phenomena-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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