Article
Analysis and optimal control of some solidification processes
Author/s | Cabrales, Roberto Carlos
Camacho, G. Fernández Cara, Enrique |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2014-10-04 |
Deposit Date | 2023-03-07 |
Published in |
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Abstract | In this paper we consider a mathematical model that describes
the solidi cation of a binary alloy. We prove some existence and uniqueness
results for a regularized problem, depending on a small parameter ". We also
analyze ... In this paper we consider a mathematical model that describes the solidi cation of a binary alloy. We prove some existence and uniqueness results for a regularized problem, depending on a small parameter ". We also analyze the behavior of the regularized solutions as " ! 0. Then, we consider some associated optimal control problems. We prove existence and optimality results and we present and discuss some iterative methods. |
Citation | Cabrales, R.C., Camacho, G. y Fernández Cara, E. (2014). Analysis and optimal control of some solidification processes. Discrete and continuous dynamical systems. Series A, 34 (10), 3985-4017. https://doi.org/10.3934/dcds.2014.34.3985. |
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