Blow-up dynamics for equivariant solutions to the Landau-Lifschitz flo…
정인지
27동 325호
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2025.06.09 13:45
| 구분 | 편미분방정식 |
|---|---|
| 일정 | 2025-07-04 10:00 ~ 12:00 |
| 강연자 | Lifeng Zhao (USTC) |
| 기타 | |
| 담당교수 | 정인지 |
We consider the energy critical Landau-Lifschit map flow with the target of two dimensional sphere for equivariant initial data of homotopy index $k=1$. We exhibit a set of initial data arbitrarily close to the least energy harmonic map $Q$ in the energy topology such that the corresponding solutions blow up in finite time. We also give a sharp description of the singularity formation. This talk is based on the joint works with Jacek Jendrej, Jitao Xu and Xu Yuan.
