中科院数学与系统科学研究院

数学研究所

 

非线性分析研讨班

 

报告人陈建毅 副教授青岛农业大学

 Renormalization and blow up for the critical Yang-Mills problem

  2020.09.02(星期三),14 :30-15:30

  点:腾讯会议 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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