Magnetic clusters and fold energies


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83817

Title:	Magnetic clusters and fold energies
Authors:	Giga, Yoshikazu Browse this author
	Kubo, Motohiko Browse this author
	Tonegawa, Yoshihiro Browse this author
Issue Date:	2004
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	666
Start Page:	1
End Page:	22
Abstract:	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.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69471
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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