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.
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 |