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SELFSIMILAR EXPANDING SOLUTIONS IN A SECTOR FOR A CRYSTALLINE FLOW

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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83802

Title: SELFSIMILAR EXPANDING SOLUTIONS IN A SECTOR FOR A CRYSTALLINE FLOW
Authors: Giga, Yoshikazu Browse this author
Giga, Mi-Ho Browse this author
Hontani, Hidekata Browse this author
Keywords: crystalline flow
selfsimilar expanding solutions
a priori estimate
Issue Date: 2004
Publisher: Department of Mathematics, Hokkaido University
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 649
Start Page: 1
End Page: 19
Abstract: For a given sector a selfsimilar expanding solution to a crystalline flow is constructed. The solution is shown to be unique. Because of selfsimilarity the problem is reduced to solve a system of algebraic equations of degree two. The solution is constructed by a method of continuity and obtained by solving associated ordinary differential equations. The selfsimilar expanding solution is useful to construct a crystalline flow from an arbitrary polygon not necessarily admissible.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69456
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

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