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Multiscale Problems in Solidification Processes

Eck, Christof and Garcke, Harald and Stinner, Björn (2006) Multiscale Problems in Solidification Processes. In: Mielke, Alexander, (ed.) Analysis, Modeling and Simulation of Multiscale Problems. Springer, Berlin, pp. 21-64. ISBN 3-540-35656-8; 978-3-540-35656-1.

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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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Item Type:Book Section
Institutions:Mathematics > Prof. Dr. Harald Garcke
Subjects:500 Science > 510 Mathematics
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Unknown
Owner: Eva Ruetz
Deposited On:19 Jan 2007
Last Modified:13 Mar 2014 09:41
Item ID:560
Owner Only: item control page
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