HUSCAP logo Hokkaido Univ. logo

Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >

Quasi-static evolution of 3-D crystals grown from supersaturated vapor

Files in This Item:
pre530.pdf584.89 kBPDFView/Open
Please use this identifier to cite or link to this item:http://doi.org/10.14943/83676

Title: Quasi-static evolution of 3-D crystals grown from supersaturated vapor
Authors: Giga, Y. Browse this author
Rybka, P. Browse this author
Issue Date: Jun-2001
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 530
Start Page: 1
End Page: 16
Abstract: Gonda and Gorni (T.Gonda, H.Gomi, Ann. Glaciology, 6 (1985), 222 224) have grown large elongated ice crystals from supersaturated vapor. Theoretrically this problem may be recast in a framework similar to that used by Seeger (A.Seeger, Philos. Mag., ser. 7, 44, no 348, (1953) 1-13) for studies of planar crystals. The resulting set of equations is of Stefan type. We also include the Gibbs­Thomson relation on the crystal surface. In order to make this system tractable mathematically we assume that the \\\1lff crystal is a fixed cylinder. Subsequently we study a weak form of our system. We show local in time existence of solutions assuming that the initial shape is an arbitrary cylinder. We comment on properties of weak solutions.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69280
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

Export metadata:

OAI-PMH ( junii2 , jpcoar )


 

Feedback - Hokkaido University