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| Content Provider | Springer Nature Link |
|---|---|
| Author | Bertsch, M. Podio Guidugli, P. Valente, V. |
| Copyright Year | 2001 |
| Abstract | The paper begins with a fairly detailed presentation of a general mathematical model for the dynamics of ferromagnetic bodies undergoing arbitrarily large deformations. Next, a mathematical study is presented of the evolution problem for the magnetization field in a «soft» ferromagnetic body which is «mechanically at rest». No matter how special and simple this problem within the frame-work of the full theory, the governing equation is interesting: it is identical to the dynamic version of the harmonic-map equation usually referred to in the mathematical literature as the Gilbert form of the Landau-Lifshitz equation. Motivated by recent nonuniqueness results for the dynamic harmonicmap equation, we give a new proof of global existence of weak solutions to the Gilbert-Landau-Lifshitz equation. |
| Starting Page | 331 |
| Ending Page | 360 |
| Page Count | 30 |
| File Format | |
| ISSN | 03733114 |
| Journal | Annali di Matematica Pura ed Applicata |
| Volume Number | 179 |
| Issue Number | 1 |
| e-ISSN | 16181891 |
| Language | English |
| Publisher | Springer-Verlag |
| Publisher Date | 2001-01-01 |
| Publisher Place | Berlin, Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Mathematics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
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