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On a singular limit of the Kobayashi–Warren–Carter energy
Description
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.
Journal
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- Hokkaido University Preprint Series in Mathematics
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Hokkaido University Preprint Series in Mathematics 1146 1-40, 2022-06-09
Department of Mathematics, Hokkaido University
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Keywords
Details 詳細情報について
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- CRID
- 1390292395531275520
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- DOI
- 10.14943/103480
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- HANDLE
- 2115/85740
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- Text Lang
- en
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- Article Type
- departmental bulletin paper
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- Data Source
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- JaLC
- IRDB
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- Abstract License Flag
- Allowed