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 >

A level set method for spiral crystal growth

Files in This Item:
pre551.pdf794.09 kBPDFView/Open
Please use this identifier to cite or link to this item:http://doi.org/10.14943/83696

Title: A level set method for spiral crystal growth
Authors: Ohtsuka, T. Browse this author
Issue Date: May-2002
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 551
Start Page: [1]
Abstract: In this paper we introduce a new level set model for the growth of spirals on the surface of a crystal. Since the conventional level set method cannot express a spiral curve having orientation, we modify the level set method by using a sheet structure function. Since the model equation we obtain is degenerate parabolic, we need to consider a notion of weak solution. Our goal is to prove the existence and the uniqueness of the solution for our model in the sence of viscosity solutions.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69300
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