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Weak Solutions of the Stochastic Landau-Lifshitz-Gilbert Equation
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Publication details
| Journal | Applied Mathematics Research eXpress |
|---|---|
| Date | E-pub ahead of print - 1 Apr 2012 |
| Date | Published (current) - Apr 2012 |
| Issue number | 1 |
| Volume | 2013 |
| Number of pages | 33 |
| Pages (from-to) | 1-33 |
| Early online date | 1/04/12 |
| Original language | English |
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 $\mathbb S^2$. The regularity of weak solutions is also discussed. Some of the regularity results are new even for the deterministic Landau-Lifshitz-Gilbert equation.
Bibliographical note
Appl Math Res Express first published online April 19, 2012
- Landau-Lifshitz-Gilbert equation, , weak martingale solution, , Galerkin approx-imations, , compact embedding.
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Some questions related to invariant measures for stochastic Navier Stokes equations
Project: Research project (funded) › Research
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