Existence of solutions to an anisotropic phase-field model

We consider an anisotropic phase-field model for the isothermal solidification of a binary alloy due to Warren-Boettinger (Acta. Metall. Mater. 1995; 43(2):689)., Existence of weak solutions is established under a certain convexity condition on the strongly non-linear second-order anisotropic operator and Lipschitz and boundedness assumptions for the non-linearities. A maximum principle holds that guarantees the existence of a solution under physical assumptions on the non-linearities. The qualitative properties of the solutions are illustrated by a numerical example. Copyright (C) 2003 John Wiley Sons, Ltd.


Published in:
Mathematical Methods in the Applied Sciences, 26, 13, 1137-1160
Year:
2003
ISSN:
0170-4214
Keywords:
Note:
Ecole Polytech Fed Lausanne, IACS, CH-1015 Lausanne, Switzerland. Burman, E, Ecole Polytech Fed Lausanne, IACS, CH-1015 Lausanne, Switzerland. ISI Document Delivery No.: 713BD Times Cited: 0 Cited Reference Count: 24
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 Record created 2006-08-24, last modified 2018-12-03


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