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

説明

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.

収録刊行物

詳細情報 詳細情報について

  • CRID
    1390292395531275520
  • DOI
    10.14943/103480
  • HANDLE
    2115/85740
  • 本文言語コード
    en
  • 資料種別
    departmental bulletin paper
  • データソース種別
    • JaLC
    • IRDB
  • 抄録ライセンスフラグ
    使用可

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