On the modified crystalline Stefan problem with singular data (Q1614728)
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scientific article; zbMATH DE number 1797545
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the modified crystalline Stefan problem with singular data |
scientific article; zbMATH DE number 1797545 |
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On the modified crystalline Stefan problem with singular data (English)
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8 September 2002
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The author considers the behavior of solutions of the modified Stefan problem in the plane for polygonal interfaces. He is particulary interested in a solution near a singularity of either a loss of a facet or breaking of a facet. The author establishes a precise regularity result if a facet disappears and uses it to establish the existence of a weak solution with singular data, i.e., when some of the zero-crystalline-curvature facets have zero length.
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Stefan problem
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Gibbs-Thomson law
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crystalline anisotropy
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facet breaking
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