Interfacial Pattern Formation: Dynamical Effects

  • D. A. Kessler
  • H. Levine
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 37)


In this talk, we focus on the dynamical aspects of pattern forming systems. These include the formation of dendritic sidebranches as well as the tip-splitting instability. We study these phenomena through first computing the steady-state pattern (via the “solvability” mechanism) and then solving the associated linear stability problem. The results to date suggest that both of the aforementioned effects must be treated by including the effects of finite amplitude perturbations on the deterministic growth equations.


Capillary Number Needle Crystal Spectral Flow Velocity Selection Capillary Pressure Drop 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • D. A. Kessler
    • 1
  • H. Levine
    • 2
  1. 1.Department of PhysicsUniversity of MichiganAnn ArborUSA
  2. 2.Schlumberger-Doll ResearchRidgefieldUSA

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