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

Details 詳細情報について

  • CRID
    1390292395531275520
  • DOI
    10.14943/103480
  • HANDLE
    2115/85740
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • JaLC
    • IRDB
  • Abstract License Flag
    Allowed

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