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Instability in the self-similar motion of a planar solidification front

Abstract:

Understanding the solidification process of a binary alloy is important if one is to control the microstructure obtained during the casting of metals. While much work has been done on the steady state solidification problem, despite their relevance to metallurgical applications, there is less known about non-steady solidification problems and their stability. In the paper we shall consider the non-steady solidification problem in which the planar solidification front moves in a self-similar m...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Publisher copy:
10.1093/imamat/hxx037

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
Publisher:
Oxford University Press Publisher's website
Journal:
IMA Journal of Applied Mathematics Journal website
Volume:
83
Issue:
1
Pages:
106–130
Publication date:
2018-01-25
Acceptance date:
2017-11-02
DOI:
EISSN:
1464-3634
ISSN:
0272-4960
Pubs id:
pubs:807742
URN:
uri:52aa4c0c-2eeb-493e-abad-561427f77ac3
UUID:
uuid:52aa4c0c-2eeb-493e-abad-561427f77ac3
Local pid:
pubs:807742

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