miun.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Representation of magnetic fields by jump theorem for harmonic forms
Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences, Engineering and Mathematics.
2008 (English)In: Mathematical Proceedings of the Royal Irish Academy, 2008, Vol. 108, no 1, 7-17 p.Conference paper, (Other academic)
Abstract [en]

It has previously been shown that a surface current density J on a closed surface § of class C1 in R3 induces a static magnetic ¯eld BJ in R3 n §, which has some discontinuity along §. In this note, we represent BJ by use of jump theorem for harmonic forms in the case where § is of class C!.We then apply this result to prove the existence of a surface current density J, which induces the nonzero magnetic ¯eld BJ such that BJ ´ 0 inside (or outside) of the domain bounded by § in R3. This has previously been called the equilibrium magnetic ¯eld for §.

Place, publisher, year, edition, pages
2008. Vol. 108, no 1, 7-17 p.
Keyword [en]
Representation of magnetic fields by jump theorem for harmonic fields
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-4153Local ID: 4817OAI: oai:DiVA.org:miun-4153DiVA: diva2:29185
Available from: 2008-09-30 Created: 2008-09-30 Last updated: 2011-04-04Bibliographically approved

Open Access in DiVA

No full text

Search in DiVA

By author/editor
Cegrell, Urban
By organisation
Department of Natural Sciences, Engineering and Mathematics
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

Total: 63 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf