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FACETED CRYSTALS GROWN FROM SOLUTION - A STEFAN TYPE PROBLEM WITH A SINGULAR INTERFACIAL ENERGY

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83903

Title: FACETED CRYSTALS GROWN FROM SOLUTION - A STEFAN TYPE PROBLEM WITH A SINGULAR INTERFACIAL ENERGY
Authors: Giga, Yoshikazu Browse this author
Rybka, Piotr Browse this author
Issue Date: 2005
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 753
Start Page: 1
End Page: 14
Abstract: We present a one-phase quasi-steady Stefan problem with Gibbs-Thomson and the kinetic effects when the interfacial energy is singular so that the equilibrium shape is a cylinder. We derive this model to describe crystal growth from vapor or solution. We summarize mathematical results on this model. Among other results we prove that a cylindrical shape is preserved if the initial cylindrical shape of a crystal is close to the equilibrium shape. Our formulation allows the possibility that cylindrical shape may break.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69561
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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