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Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
FACETED CRYSTALS GROWN FROM SOLUTION - A STEFAN TYPE PROBLEM WITH A SINGULAR INTERFACIAL ENERGY
| 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 |
| Publisher: | Department of Mathematics, Hokkaido University |
| 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
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Submitter: 数学紀要登録作業用
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