68 citations · 139 across the 15 of their papers we have counts for
4 papers · 1 filter
Existence, uniqueness and regularity of solutions to the stochastic Landau-Lifschitz-Slonczewski equation
Beniamin Goldys, Chunxi Jiao, Kim Ngan Le
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 spi…
Existence, uniqueness and regularity of the solution of the time-fractional Fokker-Planck equation with general forcing
Kim-Ngan Le, William McLean, Martin Stynes
A time-fractional Fokker-Planck initial-boundary value problem is considered, with differential operator ,…
Existence of a unique solution and invariant measures for the stochastic Landau--Lifshitz--Bloch equation
Zdzislaw Brzeźniak, Beniamin Goldys, Kim Ngan Le
The Landau--Lifshitz--Bloch equation perturbed by a space-dependent noise was proposed in Garanin 1991 as a model for evolution of spins in ferromagnatic materials at the full rang…
Weak solutions of the Landau--Lifshitz--Bloch equation
Kim Ngan Le
The Landau--Lifshitz--Bloch (LLB) equation is a formulation of dynamic micromagnetics valid at all temperatures, treating both the transverse and longitudinal relaxation components…