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Bénard Problem in Multilayer Systems with Deformable Interfaces

  • Alexander Nepomnyashchy
  • Ilya Simanovskii
  • Jean Claude Legros
Chapter
Part of the Applied Mathematical Sciences book series (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.

Keywords

Travel Wave Solution Linear Stability Analysis Nonlinear Theory Multilayer System Marangoni Number 
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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Alexander Nepomnyashchy
    • 1
  • Ilya Simanovskii
    • 1
  • Jean Claude Legros
    • 2
  1. 1.Department of MathematicsTechnion Israel Institute of TechnologyHaifaIsrael
  2. 2.Microgravity Research Center (MRC)Universite Libre de BruxellesBruxellesBelgium

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