中科院数学与系统科学研究院

数学研究所

偏微分方程研讨班

 

报告人李泽兴 (北京大学)

  目:On threshold solutions of equivariant Chern-Simons -Schrödinger equation

  间:2021.08.02(星期一), 16:00-17:00

  点:腾讯会议 486591475

  要:The Chern-Simons-Schrödinger equation is a nonrelativistic quantum model describing the dynamics of a large number of charged particles in the plane interacting both directly and via a self-generated electromagnetic field. Mathematically, it is a gauged $L^2$-critical Schrödinger equation has soliton behavior. Considering the equivariant and self-dual case, Liu-Smith has proved below threshold charge wellposedness via concentration compactness method. In this talk, I will present our result on characterizing dynamics at the threshold charge. This is a joint work with Baoping Liu.

附件
相关文档