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