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

Giga, Yoshikazu; Rybka, Piotr

Hokkaido University Preprint Series in Mathematics, 2005, 753, 1-14

Permalink : https://doi.org/10.14943/83903

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アクセス権	open access
DOI	https://doi.org/10.14943/83903
URI	https://hdl.handle.net/2115/69561
タイトル	FACETED CRYSTALS GROWN FROM SOLUTION - A STEFAN TYPE PROBLEM WITH A SINGULAR INTERFACIAL ENERGY
著者	著者名 Giga, Yoshikazu
著者	著者名 Rybka, Piotr
言語	英語
発行日	2005
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	753
ページ	1-14
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record