Chunxi Jiao (RWTH Aachen University)

Title: Solutions of stochastic Landau-Lifshitz-Slonczewski equations
Abstract: The Landau-Lifshitz-Gilbert (LLG) equation and its stochastic counterpart have been intensively studied over the last two decades. On the other hand, the study of its variant: stochastic Landau-Lifshitz-Slonczewski (sLLS) equation, is still at an early stage. The sLLS equation models magnetisation under a spin-polarised fluctuating current which potentially triggers singularities and subsequent topological changes as observed in physics experiments. In this talk, we discuss the existence, (pathwise) uniqueness and regularity of solution of sLLS equation in the case of a ferromagnetic nanowire and a frustrated magnet.