Analysis of a two-phase field model for the solidification of an alloy

作者：Boldrini Jose Luiz; Calsavara Caretta Bianca Morelli; Fernandez Cara Enrique^*

来源：Journal of Mathematical Analysis and Applications, 2009, 357(1): 25-44.

DOI：10.1016/j.jmaa.2009.03.063

• Solidification models
• Phase field models
• Parabolic partial differential equations
• Existence
• Uniqueness
• Regularity

In this paper we present some theoretical results for a system of nonlinear partial differential equations that provide a phase field model for the solidification/melting of a metallic alloy. It is assumed that two different kinds of crystallization are possible. Consequently, the unknowns are the temperature tau and the phase field functions u and v. The time derivatives u(t) and v(t) appear in the equation for tau (the heat equation). On the other hand, the equations for u and v contain nonlinear terms where we find tau.

• 出版日期2009-9-1