Interfacial Wave Theory of Dendritic Growth from Pure Melt with No Convection

  • Jian-Jun Xu
Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 7)


Without convection, dendritic growth only involves the thermodynamic process, and is governed just by the heat conduction equation. This subject has been fully explored in the monograph (Xu, 1997). For the sake of self-containment and convenience of the readers, in this chapter we shall give a fairly detailed discussion for this topic with some re-fined derivations.


Surface Tension Singular Point Dendritic Growth Peclet Number Global Mode 
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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

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

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