Existence, uniqueness and regularity of solutions to the stochastic Landau–Lifshitz–Slonczewski equation
Abstract In this paper we are concerned with the stochastic Landau–Lifshitz–Slonczewski (LLS) equation that describes magnetisation of an infinite nanowire evolving under current-driven spin torque. The current brings into the system a multiplicative gradient noise that appears as a transport term in the equation. We prove the existence, uniqueness and regularity of pathwise solutions to the equation.
Authors
- Chunxi Jiao (ORCID: https://orcid.org/0009-0002-3270-6334)
- Beniamin Gołdys (ORCID: https://orcid.org/0000-0003-3939-5356)
- Kim Ngan Le (ORCID: https://orcid.org/0000-0002-7628-9379)
Institutions
- The University of Sydney (AU)
- Monash University (AU)
Publication Details
- Journal
- Journal of Evolution Equations
- Published
- 2024-09-19
- DOI
- https://doi.org/10.1007/s00028-024-01011-3
- Primary Topic
- Stochastic processes and financial applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Monash University
- Australian Research Council Centre of Excellence for Mathematical and Statistical Frontiers