The Steady State for Dendrite Growth with Nonzero Surface Tension

  • Jian-Jun Xu
Part of the Springer Series in Synergetics book series (SSSYN, volume 68)


In the last chapter we derived the steady asymptotic solution which we called the RPE solution. However, so far we have not specified the steady state solution itself. How to specify the steady state solution in dendrite growth is an important subject which must be approached with great caution. In the literature, many researchers have looked for the classic, steady needle solution for dendrite growth. Such efforts have not been successful for the case of isotropic surface tension.


Dendrite Growth Needle Crystal Composite Solution Expansion Solution Root Condition 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Jian-Jun Xu
    • 1
  1. 1.Department of Mathematics and StatisticsMcGill UniversityMontrealCanada

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