## Existence of solutions to a phase-field model for the isothermal solidification process of a binary alloy

We investigate the well-posedness of a phase-field model for the isothermal solidification of a binary alloy due to Warren-Boettinger [12]. Existence of weak solution as well as regularity and uniqueness results are established under 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. Copyright (C) 2000 John Wiley & Sons, Ltd.

Published in:
Mathematical Methods in the Applied Sciences, 23, 6, 491-513
Year:
2000
ISSN:
0170-4214
Note:
Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland. Rappaz, J, Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland.
ISI Document Delivery No.: 299UQ
Times Cited: 11
Cited Reference Count: 12
Other identifiers:
Laboratories: