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The global theory of deep cellular growth in direcional solidification

Jian-Jun Xu 1Yongqiang Chen 2

1. McGill Unversity, 805 shebrooke street, west, Montreal H3A0B9, Canada
2. Tianjin Univesity of Urban Construction, Tianjin 300384, China

Abstract

The present paper elustrates the global theory of deep cellular growth in directional solidification. Especially the paper demonstrates the following issues: the multiple structure of steady state solutions, the presence of simle turning point singularty in the root region, the  mechanism interface-closure; the global stabilities of the system and selection of steady states, the essence of the side-branching structure formed in oscillatory cellular growth.

 

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Related papers

Presentation: Poster at 17th International Conference on Crystal Growth and Epitaxy - ICCGE-17, General Session 1, by Jian-Jun Xu
See On-line Journal of 17th International Conference on Crystal Growth and Epitaxy - ICCGE-17

Submitted: 2013-03-05 18:12
Revised:   2013-03-05 18:35