Geodesic
Instability of an Equilibrium State of Two Binary Mixtures with the General Interface and One Free Boundary
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 2, pp. 158-166

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The stability of an interface of two binary mixtures under any perturbations is investigated. The dependence of the complex decrement on the wave number is deduced by means of a numerical method of orthogonalization. We show that the area of instability increases for not deformable interfaces at increase of the Marangoni number, too. The areas of stability of a system with growth thermal diffusion effects on an interface are determined.
Mots-clés : surface tension, thermal diffusion.
Keywords: Marangoni the number, stability 
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     title = {Instability of an {Equilibrium} {State} of {Two} {Binary} {Mixtures} with the {General} {Interface} and {One} {Free} {Boundary}},
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Marina V. Efimova. Instability of an Equilibrium State of Two Binary Mixtures with the General Interface and One Free Boundary. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 2, pp. 158-166. http://geodesic.mathdoc.fr/item/JSFU_2009_2_2_a3/