We consider a degenerate solutal phase-field model for the solidification of a binary alloy. This model is devoted to the evolution of the phase-field variable together with the relative concentration of the alloy for which the equation may degenerate. The existence of global weak solutions is proved for the degenerate case with a loss of regularity for the concentration in comparison with the non-degenerate case.
Publié le : 2004-07-05
Classification:
Phase-field model,
Phase transitions,
Degenerate parabolic systems,
Faedo–Galerkin method,
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-00141798,
author = {Scheid, Jean-Fran\c cois},
title = {Global solutions to a degenerate solutal phase-field model for the solidification of binary alloy},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00141798}
}
Scheid, Jean-François. Global solutions to a degenerate solutal phase-field model for the solidification of binary alloy. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00141798/