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发表时间:2019-01-14 阅读次数:374次
报告题目: Unboundedness and concentration phenomenon of solutions to a degenerate drift-diffusion equation with the mass critical exponent
报 告 人:Dr. Hiroshi Wakui
报告人所在单位:Tohoku University
报告日期:2019-01-14 星期一
报告时间:15:10-16:10
报告地点:光华东主楼1501
  
报告摘要:

In this talk, we consider unboundedness and concentration phenomenon of solutions to a degenerate drift-diffusion equation with the mass critical exponent. We proved that solutions does not remain bounded in time when the initial data has negative free energy under non-weight condition. Moreover, we show that the mass concentration phenomenon of radially symmetric solutions to our problem occurswith the sharp lower constant related to the best constant of the Hardy-Littlewood-Sobolev inequality and the concentration rate of the total mass. We note that the sharp lower constant can be estimated by the well-known value 8π when we take the limit with respect to the dimension to 2.

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本年度学院报告总序号:3

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