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Weak solutions of the stochastic landau-lifshitz-gilbert equation (2008).
| Content Provider | CiteSeerX |
|---|---|
| Author | Brzezniak, Z. Goldys, B. |
| Abstract | The Landau-Lifshitz-Gilbert equation perturbed by a multiplicative space-dependent noise is considered for a ferromagnet filling a bounded three-dimensional domain. We show the existence of weak martingale solutions taking values in a sphere S 2. The regularity of weak solutions is also discussed. Some of the regularity results are new even for the deterministic Landau-Lifshitz-Gilbert equation. |
| File Format | |
| Publisher Date | 2008-01-01 |
| Access Restriction | Open |
| Subject Keyword | Weak Solution Stochastic Landau-lifshitz-gilbert Equation Weak Martingale Solution Deterministic Landau-lifshitz-gilbert Equation Multiplicative Space-dependent Noise Landau-lifshitz-gilbert Equation Three-dimensional Domain Regularity Result |
| Content Type | Text |