The Landau–Lifshitz–Baryakhtar (LLBar) equation is a generalisation of the Landau–Lifshitz–Gilbert and Landau–Lifshitz–Bloch equations which takes into account contributions from nonlocal damping valid at moderate temperature below Curie temperature. Therefore, it used to explain some discrepancies between experimental observations known theories in various problems on magnonics magnetic domain...

We present a general finite element linearized Landau-Lifshitz-Gilbert equation (LLGE) solver for magnetic systems under weak time-harmonic excitation field. The LLGE is obtained by assuming small deviation around the equilibrium state of system. Inserting such expansion into and keeping only first order terms gives LLGE, which frequency domain solution complex magnetization amplitudes an exter...

Following the ideas of Zhikov and Piatnitski (Izv Math 70(1):19–67, 2006), more precisely stochastic two-scale convergence, this paper establishes a homogenization theorem in setting for two nonlinear equations: equation harmonic maps into sphere Landau–Lifschitz–Gilbert equation. These equations have strong features, general their solutions are not unique.