Abstract
The problem of dendritic growth in solidification is formulated as a free boundary problem with an emphasis on the role of surface tension and curvature. The solvability theory of steady-state selection is described together with an analysis of time-dependent perturbations of the steady state that suggests a mechanism for sidebranching due to the selective amplification of noise.
Information
Published: 1 January 1992
First available in Project Euclid: 18 November 2014
zbMATH: 0788.35150
MathSciNet: MR1210751
Rights: Copyright © 1992, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.
