Article
Analysis of a two-phase field model for the solidification of an alloy
Author/s | Boldrini, José Luis
Calsavara Caretta, Bianca Morelli Fernández Cara, Enrique |
Department | Universidad de Sevilla. Departamento de Ecuaciones diferenciales y análisis numérico |
Publication Date | 2009-03-09 |
Deposit Date | 2022-12-09 |
Published in |
|
Abstract | 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 ... 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 τ and the phase field functions u and v. The time derivatives and appear in the equation for τ (the heat equation). On the other hand, the equations for u and v contain nonlinear terms where we find τ. |
Citation | Boldrini, J.L., Calsavara Caretta, B.M. y Fernández Cara, E. (2009). Analysis of a two-phase field model for the solidification of an alloy. Journal of Mathematical Analysis and Applications, 357 (1), 25-44. https://doi.org/10.1016/j.jmaa.2009.03.063. |
Files | Size | Format | View | Description |
---|---|---|---|---|
analysis.pdf | 330.0Kb | [PDF] | View/ | |