The fascinating world of the Landau–Lifshitz–Gilbert equation: an overview

M Lakshmanan - … Transactions of the Royal Society A …, 2011 - royalsocietypublishing.org
The Landau–Lifshitz–Gilbert (LLG) equation is a fascinating nonlinear evolution equation
both from mathematical and physical points of view. It is related to the dynamics of several …

[PDF][PDF] On global weak solutions for Landau-Lifshitz equations: existence and nonuniqueness

F Alouges, A Soyeur - Nonlinear Anal, 1992 - academia.edu
Vol. 18, No. zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONMLKJIHGFEDCBA This
equation reads: zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONML Page 1 Nonlrnear …

The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps

B Guo, MC Hong - Calculus of Variations and Partial Differential …, 1993 - Springer
We prove a global existence of solutions for the Landau-Lifshitz equation of the
ferromagnetic spin chain from am-dimensional manifold M into the unit sphere S 2 of ℝ 3 …

[图书][B] Landau-Lifshitz Equations

B Guo, S Ding - 2008 - books.google.com
This is a comprehensive introduction to Landau-Lifshitz equations and Landau-Lifshitz-
Maxwell equations, beginning with the work by Yulin Zhou and Boling Guo in the early …

[图书][B] Quantum chaos: a new paradigm of nonlinear dynamics

K Nakamura - 1994 - books.google.com
Almost all the many past studies on chaos have been concerned with classical systems. This
book, however, is one of the first to deal with quantum chaos, the natural progression from …

[图书][B] Nonlinear waves: from dissipative solitons to magnetic solitons

E Kengne, WM Liu - 2023 - books.google.com
This book highlights the methods to engineer dissipative and magnetic nonlinear waves
propagating in nonlinear systems. In the first part of the book, the authors present …

Exponential temperature effects on skyrmion-skyrmion interaction

Y Wang, J Wang, T Kitamura, H Hirakata… - Physical Review Applied, 2022 - APS
Understanding the dynamic behaviors of magnetic skyrmions has great potential in the
application of spintronics. This is especially the case for the interaction between two …

Nonlinear magnetization dynamics in a ferromagnetic nanowire with spin current

PB He, WM Liu - Physical Review B—Condensed Matter and Materials …, 2005 - APS
We investigate the effect of spin transport on nonlinear excitations in a ferromagnetic
nanowire with nonuniform magnetizations. In the presence of spin-polarized current, the …

Parity-time symmetry breaking in magnetic systems

A Galda, VM Vinokur - Physical Review B, 2016 - APS
The understanding of out-of-equilibrium physics, especially dynamic instabilities and
dynamic phase transitions, is one of the major challenges of contemporary science …

Numerical methods for the Landau-Lifshitz equation

E Weinan, XP Wang - SIAM journal on numerical analysis, 2001 - JSTOR
Numerical Methods for the Landau-Lifshitz Equation Page 1 SIAM J. NUMER. ANAL. ) 2000
Society for Industrial and Applied Mathematics Vol. 38, No. 5, pp. 1647-1665 NUMERICAL …