Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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An evolutionary continuous casting problem of Stefan type


Author: José-Francisco Rodrigues
Journal: Quart. Appl. Math. 44 (1986), 109-131
MSC: Primary 49A29; Secondary 35R35, 80A20
DOI: https://doi.org/10.1090/qam/840448
MathSciNet review: 840448
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Abstract: A simplified model for the solidification of an ingot being cast continuously by withdrawing it from a mould at constant rate is studied via the variational inequalities approach. Existence, uniqueness and regularity results are given for this one-phase Stefan type problem, together with a detailed analysis for the free boundary (the solid-liquid interface) particularly with respect to the asymptotic behavior as time $ t \uparrow \infty $ where the steady state is attained.


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DOI: https://doi.org/10.1090/qam/840448
Article copyright: © Copyright 1986 American Mathematical Society


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