Weak and strong solutions to Landau-Lifshitz-Bloch-Maxwell equations with polarization

DOI10.1016/j.jde.2021.02.042zbMath1467.35306OpenAlexW3139173240MaRDI QIDQ2020110

Qiaoxin Li, Fengxia Liu, Wu-Ming Liu, Bo-ling Guo

Publication date: 23 April 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.02.042

zbMATH Keywords

weak solutionsmooth solutionferromagnetic chainLandau-Lifshitz-Bloch-Maxwell equations with polarization

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Electromagnetic theory (general) (78A25) Weak solutions to PDEs (35D30) Statistical mechanics of magnetic materials (82D40) Strong solutions to PDEs (35D35)

Related Items (3)

Global solutions of the Landau-Lifshitz-Baryakhtar equation ⋮ Existence results for the Landau–Lifshitz–Baryakhtar equation ⋮ The partial regularity for Landau-Lifshitz-Maxwell-spin diffusion system in three dimensions

Cites Work

• Weak solutions of the Landau-Lifshitz-Bloch equation
• Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces
• A three-dimensional phase transition model in ferromagnetism: Existence and uniqueness
• On the long-time behavior of ferroelectric systems
• Near soliton evolution for equivariant Schroedinger Maps in two spatial dimensions
• Schrödinger maps
• Finite Time singularity of the Landau-Lifshitz-Gillbert Equation
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