报告主题: Singularity formation for the Landau-Lifshitz-Gilbert equation in dimension two
报 告 人:周一夫 教授 (武汉大学)
报告时间:2023年9月13日(星期三)上午10:00-11:00
报告地点:清清文理楼 3A01
邀 请 人: 姚若飞 副教授
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数学学院
2023年9月7日
报告摘要:
Landau-Lifshitz-Gilbert equation (LLG), which models the evolution of spin fields in continuum ferromagnetism, can be viewed as a coupling between the harmonic map heat flow and the Schrodinger map flow. In this talk, we shall briefly report some recent gluing construction of finite-time singularities for LLG in dimension two. To overcome the difficulties caused by the dispersion, technical ingredients such as distorted Fourier transform and sub-Gaussian estimates are employed. This is based on a joint work with J. Wei and Q. Zhang.
报告人介绍:
周一夫,2020年博士毕业于英属哥伦比亚大学,2020年至2023年在约翰斯霍普金斯大学从事博士后研究,现于武汉大学数学与统计学院工作。主要研究方向为非线性抛物方程中的爆破现象与长时间行为,相关文章发表在CPAM, ARMA, Math Ann, CVPDE等期刊上。