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Multiscale Problems in Solidification Processes

URN to cite this document:
urn:nbn:de:bvb:355-epub-5608
Eck, Christof ; Garcke, Harald ; Stinner, Björn
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Date of publication of this fulltext: 05 Aug 2009 13:23


Abstract

Our objective is to describe solidification phenomena in alloy systems. In the classical approach, balance equations in the phases are coupled to conditions on the phase boundaries which are modelled as moving hypersurfaces. The Gibbs-Thomson condition ensures that the evolution is consistent with thermodynamics. We present a derivation of that condition by defining the motion via a localized ...

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