Long-wave interactions in morphological and convective instabilities

D. S. Riley*, S. H. Davis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


A binary liquid that undergoes directional solidification is susceptible to morphological and solutal-convective instabilities that cause the solid/liquid interface to change from a planar to a cellular state. This paper gives derivations for those long-wave evolution equations that describe the weak couplings between convection and interface morphology and gives some analytical results obtainable from these.

Original languageEnglish (US)
Pages (from-to)267-285
Number of pages19
JournalIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Issue number3
StatePublished - 1990

ASJC Scopus subject areas

  • Applied Mathematics


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