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http://acervodigital.unesp.br/handle/11449/64641
- Title:
- Modulational instability analysis of surface-waves in the Bénard-Marangoni phenomenon
- Universidade Estadual Paulista (UNESP)
- Université de Montpellier II
- 0167-2789
- By 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.
- 15-Oct-1995
- Physica D: Nonlinear Phenomena, v. 87, n. 1-4, p. 356-360, 1995.
- 356-360
- http://dx.doi.org/10.1016/0167-2789(95)00159-2
- Acesso restrito
- outro
- http://repositorio.unesp.br/handle/11449/64641
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