Blow-up dynamics for equivariant solutions to the Landau-Lifschitz flow

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Blow-up dynamics for equivariant solutions to the Landau-Lifschitz flow

정인지 0 2236
구분 편미분방정식
일정 2025-07-04(금) 10:00~12:00
세미나실 27동 325호
강연자 Lifeng Zhao (USTC)
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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.


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