题目：On the Multiscale Landau-Lifshitz-Gilbert Equation

报告人：陈景润 教授 (中国科学技术大学)

地点：腾讯会议室

时间：2021年12月17日（星期五） 晚8:00-9:00

摘要：Permalloy is a nickel-iron magnetic alloy, which typically has a face-centered cubic phase but may form an irregular polycrystalline structure. Its magnetization dynamics is modeled by the multiscale Landau-Lifshitz-Gilbert (LLG) equation with locally periodic material coefficients. We consider homogenization of the multiscale LLG equation in this work, and the novelty lies in three aspects. First, we derive the homogenized LLG equation using the formal asymptotic expansion and prove the rigorous convergence using the notion of two-scale convergence. Second, we establish a stability result of the homogenized LLG equation under small disturbances of material coefficients. Third, a modified Gauss-Seidel projection method is implemented to verify the convergence between the multiscale and homogenized LLG equations and the stability result.

个人简介：陈景润，中国科学技术大学教授，国家青年千人。主要研究方向为材料性质的多尺度建模、分析、算法与仿真，包括材料力学、材料磁学以及材料电学。主要工作发表在SIAM系列期刊，Math. Comp.，J. Comput. Phys.等应用与计算数学学术期刊以及Journal of Magnetism and Magnetic Materials, IEEE Transactions on Magnetics等磁性材料领域学术期刊上。

腾讯会议ID：223792245

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