Electronic Journal of Differential Equations, Vol. 2006(2006), No. 30, pp. 1-17. Title: Existence of weak solutions for a non-homogeneous solidification mathematical model Authors: Mario M. Duran (Univ. Catolica de Chile, Chile) Elva Ortega-Torres (Univ. de Antofagasta, Chile) Abstract: This article studies the existence of weak solutions for a stationary non-homogeneous system of equations describing the solidification process of a binary alloy confined to a regular bounded domain in $R^3$ and having mixed boundary conditions. Submitted April 21, 2005. Published March 16, 2006. Math Subject Classifications: 35D05, 35Q35. Key Words: Weak solution; non-homogeneous solidification