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Bénard Problem in Multilayer Systems with Deformable Interfaces

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Part of the book series: Applied Mathematical Sciences ((AMS,volume 179))

Abstract

The present chapter is devoted to the investigation of phenomena related to deformations of interfaces. As explained in Chapter 1, these phenomena take place at finite values of the Galileo number Ga; thus, the Grashof number G has to be set equal to zero. In Section 4.1, we recall the formulation of the problem previously presented in Section 1.2.4. Section 4.2 contains the results of the linear stability analysis. In Section 4.3 we derive and simulate the longwave amplitude equations that describe the interaction between the deformations of both interfaces.

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Correspondence to Alexander Nepomnyashchy .

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© 2012 Springer Science+Business Media, LLC

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Nepomnyashchy, A., Simanovskii, I., Legros, J.C. (2012). Bénard Problem in Multilayer Systems with Deformable Interfaces. In: Interfacial Convection in Multilayer Systems. Applied Mathematical Sciences, vol 179. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-87714-3_4

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