Evolution of 3-D crystals from supersaturated vapor with modified Stefan condition: Galerkin method approach |
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| Authors: | Przemys?aw Górka |
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| Institution: | Department of Mathematics and Information Sciences, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warsaw, Poland |
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| Abstract: | We examine the evolution of crystals in three dimensions. We assume that the Wulff shape is a prism with a hexagonal base. We include the Gibbs-Thomson law on the crystal surface and the so-called Stefan condition. We show local in time existence of solutions assuming that the initial crystal has admissible shape. |
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| Keywords: | Free boundary problem Crystal growth Gibbs-Thomson relation Stefan problem |
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