Electron. J. Diff. Eqns., Vol. 2006(2006), No. 30, pp. 1-17.

Existence of weak solutions for a non-homogeneous solidification mathematical model

Mario M. Duran, Elva Ortega-Torres

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 $\mathbb{R}^3$ 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

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Mario Manuel Durán
Facultad de Ingeniería
Pontificia Universidad Cat&oaccute;lica de Chile
Casilla 306, Santiago 22, Chile
email: mduran@ing.puc.cl
Elva Ortega-Torres
Departamento de Matemáticas
Universidad Catolica del Norte
Antofagasta, Chile
email: eortega@ucn.cl

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