On convergence of solutions of the crystalline Stefan problem with Gibbs-Thomson law and kinetic undercooling (Q1590204)
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scientific article; zbMATH DE number 1545560
| Language | Label | Description | Also known as |
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| English | On convergence of solutions of the crystalline Stefan problem with Gibbs-Thomson law and kinetic undercooling |
scientific article; zbMATH DE number 1545560 |
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On convergence of solutions of the crystalline Stefan problem with Gibbs-Thomson law and kinetic undercooling (English)
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30 August 2001
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Summary: This paper presents a study of the relations between the modified Stefan problem in a plane and its quasi-steady approximation. In both cases the interfacial curve is assumed to be a polygon. It is shown that the weak solutions to the Stefan problem converge to weak solutions of the quasi-steady problem as the bulk specific heat tends to zero. The initial interface has to be convex of sufficiently small perimeter.
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Stefan problem
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Gibbs-Thomson law
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crystalline anisotropy
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