4 papers
Design and convergence analysis of numerical methods for stochastic evolution equations with Leray-Lions operator
Jerome Droniou, Beniamin Goldys, Kim-Ngan Le
*The gradient discretisation method (GDM) is a generic framework, covering many classical methods (Finite Elements, Finite Volumes, Discontinuous Galerkin, etc.), for designing and…
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…