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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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/

[1] L. G. Napolitano, “Plane Marangoni–Poiseulle flow two immiscible fluids”, Acta Astronautica, 7:4–5 (1980), 461–478 | DOI | Zbl

[2] V. V. Pukhnachev, Dvizhenie vyazkoi zhidkosti so svobodnymi granitsami, Uchebn. posobie, NGU, Novosibirsk, 1989 | MR

[3] V. K. Andreev, Linearizovannaya zadacha o malykh vozmuscheniyakh dvizheniya zhidkosti s poverkhnostyu razdela pri nalichii effektov Sore, Sb. tr. sem. “Matematicheskoe modelirovanie v mekhanike”, Dep. VINITI No 1999-B99, 12–33

[4] S. K. Godunov, “O chislennom reshenii kraevykh zadach dlya sistem lineinykh obyknovennykh differentsialnykh uravnenii”, Uspekhi mat. nauk, 16:3 (1961), 171–174 | MR | Zbl