GUO / LI / PEI The Ferromagnetic Chain Equations at High Temperatures

Analysis and Applications of the Landau–Lifshitz–Bloch Equations
1. Auflage 2025
ISBN: 978-2-7598-3848-6
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch

This book presents a comprehensive exploration of the mathematical theory and recent advances related to the ferromagnetic chain equations at high temperatures, with a particular focus on the Landau–Lifshitz–Bloch (LLB) equation and its extensions. More specifically, the work addresses key topics, including the LLB equation, the coupled Maxwell–LLB system, temperature-dependent LLB models, nonlinear electron polarization systems, and stochastic and fractional LLB equations. It highlights a series of innovative results: ranging from the existence of weak and smooth solutions to the construction of global attractors and the analysis of periodic behaviors. By integrating rigorous mathematical derivations with underlying physical principles, it serves as a valuable reference for researchers in mathematics, physics, and materials science.

Autoren/Hrsg.

GUO, Boling

LI, Qiaoxin

LI, Fangfang

PEI, Yitong

ZHANG, Ying

ZHAO, Lichen

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein

Über Autor(innen)

Contributor: Boling GUO Guo Boling, an academician of Chinese Academy of Sciences, a renowned expert in applied mathematics and computational mathematics, research fellow of Institute of Applied Physics and Computational Mathematics, has made great achievements in qualitative and numerical study on the solutions, soliton solutions of nonlinear evolution equations, as well as infinite-dimensional dynamical systems. In addition to over 700 essays published on important journals home and abroad, he is the author of over ten books and 15 volumes of essays. He is the winner of the first prize and the third prize of National Natural Science Award, Guanghua Engineering Science and Technology Award, the Ho Leung Ho Lee (HLHL) Foundation Award, etc.