Abstract
We study the simulation and the control of a Stefan problem with heat source along the free boundary. Such a problem can be associated with the continuous casting process taking the convection in the liquid into account. The initial problem is transformed into a variational inequality (V.I) in which the free boundary appears explicitly in the second member. We prove the existence of a solution of this V.I and we study some associated optimal control problems. Numerical methods are presented.
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References
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C. Saguez: Un problème de Stefan avec source sur la frontière libre (Rapport Laboria, 1977).
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© 1978 Springer-Verlag
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Saguez, C. (1978). A variational inequality associated with a Stefan problem simulation and control. In: Stoer, J. (eds) Optimization Techniques Part 1. Lecture Notes in Control and Information Sciences, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0007254
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DOI: https://doi.org/10.1007/BFb0007254
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08707-6
Online ISBN: 978-3-540-35891-6
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