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A phase-field model for the isothermal solidification process of a binary alloy

Kessler D., Krüger O., Rappaz J.

Computer Assisted Mechanics and Engineering Sciences

2000

Vol. 7, No. 3

279-288

We study a phase-field model for the isothermal solidification of a binary alloy which involves the relative concentration and the order parameter. We prove the existence of weak solutions as well as regularity and uniqueness results under Lipschitz and boundeness assumptions for the nonlinearities. A maximum principle holds that justifies these assumptions. A numerical approximation and some numerical results are also presented