Singularity formation for the Landau-Lifshitz-Gilbert equation in dimension two

发布时间：2023-09-15 作者：浏览次数：

Speaker:	周一夫	DateTime:	2023年9月22日(周五）上午10:00-11:00
Brief Introduction to Speaker: 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，在CPAM, ARMA, Math Ann, CVPDE等期刊发表论文数篇。		Place:	6号楼2楼报告厅
Abstract: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 Schr\"odinger 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.