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On a singular limit of the Kobayashi–Warren–Carter energy

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Please use this identifier to cite or link to this item:https://doi.org/10.14943/103480

Title: On a singular limit of the Kobayashi–Warren–Carter energy
Authors: Giga, Yoshikazu Browse this author →KAKEN DB
Okamoto, Jun Browse this author
Sakakibara, Koya Browse this author →KAKEN DB
Uesaka, Masaaki Browse this author
Keywords: Gamma limit
Modica–Mortola functional
Kobayashi–Warren–Carter energy
multi-dimensional domain
Issue Date: 9-Jun-2022
Publisher: Department of Mathematics, Hokkaido University
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 1146
Start Page: 1
End Page: 40
Abstract: By introducing a new topology, a representation formula of the Gamma limit of the Kobayashi–Warren–Carter energy is given in a multi-dimensional domain. A key step is to study the Gamma limit of a single-well Modica–Mortola functional. The convergence introduced here is called the sliced graph convergence, which is finer than conventional L1 convergence, and the problem is reduced to a one-dimensional setting by a slicing argument.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/85740
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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