Abstract
A binary liquid that undergoes directional solidification is susceptible to morphological instabilities which cause the solid/liquid interface to change from a planar to a cellular state. This paper presents a numerical study of a class of long-wave equations that describe the evolution of interface morphology. We find new bifurcation points, new solution branches, and the existence of inverted hexagonal nodes and cells.
Original language | English (US) |
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Pages (from-to) | 639-652 |
Number of pages | 14 |
Journal | European Journal of Applied Mathematics |
Volume | 6 |
Issue number | 6 |
DOIs | |
State | Published - Dec 1995 |
ASJC Scopus subject areas
- Applied Mathematics