Bifurcation with Symmetry in Multi-Phase Flows

  • Manfred F. Göz
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 98)


A common approach to describe particulate flows consists in the use of (volume or ensemble) averaged equations of motion. These are coupled sets of compressible Navier-Stokes equations representing a typical wave-hierarchy problem with dissipation and expressing another hierarchy of symmetry-breaking instabilities. The general features of these hierarchies, their connection, and the details of the first two stages of instabilities are discussed.


Solitary Wave Bifurcation Point Secondary Instability Transverse Structure Kinematic Wave 


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Copyright information

© Springer-Verlag New York, Inc. 1998

Authors and Affiliations

  • Manfred F. Göz
    • 1
  1. 1.Department of Chemical EngineeringPrinceton UniversityPrincetonUSA

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