The University of Southampton
University of Southampton Institutional Repository

Bifurcation analysis of cellular interfaces in unidirectional solidification of a dilute binary mixture

Impey, M.D., Riley, D.S. and Wheeler, A.A. (1993) Bifurcation analysis of cellular interfaces in unidirectional solidification of a dilute binary mixture SIAM Journal on Applied Mathematics, 53, (1), pp. 78-95.

Record type: Article


Analytical bifurcation theory is used to study interface patterns in the unidirectional solidification of a dilute binary mixture. Armbruster and Dangelmayr's classification of bifurcation equations equivariant under the diagonal action in ?2 of the symmetry group O(2) is used to show that the local bifurcation structure of the model long-wave evolution equation derived by Riley and Davis is equivalent to that of a codimension-one normal form. Examination of the bifurcation structure of the normal form then leads to a description of the development of three-dimensional interface patterns during unidirectional solidification. The general methodology underlying this study is also discussed, and conditions under which the method can be applied to other evolution equations are derived and clearly stated.

Full text not available from this repository.

More information

Published date: 1993


Local EPrints ID: 809
ISSN: 0036-1399
PURE UUID: bf8c8858-990b-4933-bc1b-77fd5045f22d

Catalogue record

Date deposited: 26 Mar 2004
Last modified: 17 Jul 2017 17:17

Export record


Author: M.D. Impey
Author: D.S. Riley
Author: A.A. Wheeler

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.