20211215 赵立丰 Blowup dynamics for smooth equivariant solutions to energy critical Landau-Lifschitz flow

报告题目：Blowup dynamics for smooth equivariant solutions to energy critical Landau-Lifschitz flow

报告人：赵立丰副教授，中国科学技术大学

邀请人：熊林杰

时间：12月15日15:00-16：00（北京时间）

腾讯会议：806 909 875（无密码）

摘要：We study the energy critical equivariant Landau-Lifschitz flow with target manifold S^2. We prove that there exists a codimension one smooth well-localized set of initial data which generates finite-time type-II blowup solutions, and then give a precise description of the corresponding singularity formation. In our proof, both the Schrödinger part and the heat part play important roles in the construction of approximate solutions and the mixed Energy-Morawetz arguments. However, the blowup rate is independent of their coefficients. This talk is based on the joint work with Jitao Xu.

报告人简介：赵立丰，中国科学技术大学副教授、博士生导师，研究方向为非线性色散方程，包括波动方程、薛定谔方程等，目前已在CMP, SIMA, JMPA, JFA等学术期刊上发表论文数篇。