|
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
| 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 |
| Publisher: | Department of Mathematics, Hokkaido University |
| 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
|
