中科院數學與系統科學研究院

數學研究所

 

非線性分析研討班

 

報告人陳建毅 副教授青島農業大學

 Renormalization and blow up for the critical Yang-Mills problem

  2020.09.02(星期三),14 :30-15:30

  點:騰訊會議 772 3088 3914

  要:In this talk, we discuss the Yangs-Mills equation in the energy critical case. It is proved that the critical Yangs-Mills problem admits a family of spherically symmetric solutions which blow up in finite time. They are obtained by the spherically symmetric ansatz in the SO(4) gauge group and result by rescaling of the instanton solution. The rescaling is done via a prescribed rate which in this case is a modification of the self-similar rate by a power of |log t|.

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