Magnetic clusters and fold energies

• Giga Yoshikazu

• Kubo Motohiko

• Tonegawa Yoshihiro

抄録

We are concerned with variational properties of a fold energy for a unit, dilation-invariant gradient field (called a cluster) in the unit disk. We show that boundedness of a fold energy implies L1-compactness of clusters. We also show that a fold energy is L1-lower semicontinuous. We characterize absolute minimizers. We also give a sequence of stationary states and discuss its stability. Surprisingly, the stability depends upon q, the power of modulus of the jump discontinuities, in the definition of the fold energy.

収録刊行物

• Hokkaido University Preprint Series in Mathematics

  Hokkaido University Preprint Series in Mathematics 666 1-22, 2004

  Department of Mathematics, Hokkaido University

キーワード

• 410

詳細情報

• CRID: 1390572174748711552
• NII論文ID: 120006459377
• DOI: 10.14943/83817
• HANDLE: 2115/69471
• 本文言語コード: en
• データソース種別:
  • JaLC
  • IRDB
  • CiNii Articles
• 抄録ライセンスフラグ: 使用可