中科院数学与系统科学研究院
数学研究所
学术报告
非线性分析研讨班
报告人：张启迪（University of British Columbia）
题 目：Finite-time singularity formations for the Landau-Lifshitz-Gilbert equation in dimension two
时 间：2023.03.01（星期三）10:00-11:00
地 点：腾讯会议: 990-256-888
摘 要：Landau-Lifshitz-Gilbert equation (LLG) describes magnetization of ferromagnets. In this paper, we consider the singularity formation of LLG from R^2 to S^2. For any prescribed N distinct points q^{j} in R^2, j=1,2,…,N, and T sufficiently small, there exists initial data u_0 such that the gradient of the solution u to LLG blows up at these N points at finite time t=T. This is joint work with Juncheng Wei and Yifu Zhou.
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