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A coupled Maxwell integrodifferential model for magnetization processes

Please always quote using this URN:urn:nbn:de:0296-matheon-11585
  • A mathematical model for instationary magnetization processes is considered, where the underlying spatial domain includes electrically conducting and nonconducting regions. The model accounts for the magnetic induction law that couples the given electrical voltage with the induced electrical current in the induction coil. By a theorem of Showalter on degenerate parabolic equations, theorems on existence, uniqueness, and regularity of the solution to the associated Maxwell integrodifferential system are proved.

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Metadaten
Author:Serge Nicaise, Fredi Tröltzsch
URN:urn:nbn:de:0296-matheon-11585
Referee:Harry Yserentant
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2012/07/19
Release Date:2012/07/19
Tag:Evolution Maxwell equations; degenerate parabolic equation; induction law
Institute:Technische Universität Berlin
MSC-Classification:35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Kxx Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35] / 35K65 Degenerate parabolic equations
78-XX OPTICS, ELECTROMAGNETIC THEORY (For quantum optics, see 81V80) / 78Axx General / 78A25 Electromagnetic theory, general
Preprint Number:973
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