Singularity formation for the Landau-Lifshitz-Gilbert equation in dimension two
数学专题报告
报告题目(Title)：Singularity formation for the Landau-Lifshitz-Gilbert equation in dimension two
报告人(Speaker)：Yifu Zhou (Johns Hopkins University)
地点(Place)：Zoom ID: 968 5118 7301, Passcode: 166862
时间(Time)：2023 年 4月 21 日(周五), 9：00-10：00
邀请人(Inviter)：熊金钢
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 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.
* This PDE seminar is co-organized with Tianling Jin at The Hong Kong University of Science and Technology. See the seminar webpage: https://www.math.hkust.edu.hk/~tianlingjin/PDEseminar.html
