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Existence, uniqueness and regularity of solutions to the stochastic Landau-Lifschitz-Slonczewski equation
Beniamin Goldys, Chunxi Jiao, Kim Ngan Le · 2022-08-22 · via math.PR updates on arXiv.org

In this paper we are concerned with the stochastic Landau-Lifshitz-Slonczewski equation (LLS) that describes magnetisation of an inifnite 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 this equation.

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