Nonlinear waves in a multilayer system

Ilya B. Simanovskii; Antonio Viviani; Frank Dubois; Jean-Claude Legros

doi:10.1016/j.crme.2009.03.004

Nonlinear waves in a multilayer system

Presented by: Jean-Baptiste Leblond

Ilya B. Simanovskii ^1,² ; Antonio Viviani ³; Frank Dubois ⁴; Jean-Claude Legros ⁴

¹ Department of Mathematics, Technion – Israel Institute of Technology, 3200 Haifa, Israel
² Minerva Center for Nonlinear Physics of Complex Systems, Technion – Israel, Institute of Technology, 32000 Haifa, Israel
³ Seconda Universita di Napoli (SUN), Dipartimento di Ingegneria Aerospaziale e Meccanica (DIAM), via Roma 29, 81031 Aversa, Italy
⁴ Universite Libre de Bruxelles, service de chimie physique EP, CP165-62, 50, avenue F.D. Roosevelt, B-1050, Brussels, Belgium

Comptes Rendus. Mécanique, Volume 337 (2009) no. 2, pp. 75-83.

Abstract

The joint action of buoyant and thermocapillary mechanisms of instability in a multilayer system, is investigated. The nonlinear convective regimes are studied by the finite difference method. The periodic boundary conditions on the lateral boundaries, are considered. It is found that the competition of both mechanisms of instability may lead to the appearance of a buoyant–thermocapillary traveling wave and a modulated traveling wave.

Received: 2009-02-06
Accepted: 2009-03-03
Published online: 2009-02-01

DOI: 10.1016/j.crme.2009.03.004

Mots-clés : Interfacial convection, Multilayer system, Finite difference method

Author's affiliations:

Ilya B. Simanovskii ^{1, 2}; Antonio Viviani ³; Frank Dubois ⁴; Jean-Claude Legros ⁴

¹ Department of Mathematics, Technion – Israel Institute of Technology, 3200 Haifa, Israel
² Minerva Center for Nonlinear Physics of Complex Systems, Technion – Israel, Institute of Technology, 32000 Haifa, Israel
³ Seconda Universita di Napoli (SUN), Dipartimento di Ingegneria Aerospaziale e Meccanica (DIAM), via Roma 29, 81031 Aversa, Italy
⁴ Universite Libre de Bruxelles, service de chimie physique EP, CP165-62, 50, avenue F.D. Roosevelt, B-1050, Brussels, Belgium

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     author = {Ilya B. Simanovskii and Antonio Viviani and Frank Dubois and Jean-Claude Legros},
     title = {Nonlinear waves in a multilayer system},
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     pages = {75--83},
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     number = {2},
     year = {2009},
     doi = {10.1016/j.crme.2009.03.004},
     language = {en},
}

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Ilya B. Simanovskii; Antonio Viviani; Frank Dubois; Jean-Claude Legros. Nonlinear waves in a multilayer system. Comptes Rendus. Mécanique, Volume 337 (2009) no. 2, pp. 75-83. doi : 10.1016/j.crme.2009.03.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.03.004/

References
Cited by

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[8] A.A. Nepomnyashchy; I.B. Simanovskii Combined action of different mechanisms of instability in multilayer systems, Phys. Rev. E, Volume 59 (1999), p. 6672

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