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 . 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.
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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
Record created on 2006-08-24, modified on 2016-08-08