Kim-Ngan Le

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20162020

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math.AP2019

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 $u_{t} - \nabla \cdot (\partial_{t}^{1 - α} κ_{α} \nabla u - F \partial_{t}^{1 - α} u)$ ,…

math.AP2019

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…

math.AP2016

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…