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Finite-time blow-up for the heat flow of pseudoharmonic maps

来源:复旦大学数学科学学院 | 2019-07-17 | 发布:经管之家

报告题目: Finite-time blow-up for the heat flow of pseudoharmonic maps报 告 人:Tinghui Chang 报告人所在单位:台清华大学报告日期:2019-07-20 星期六报告时间:15:10-16:10报告地点:光华东主楼1501报告摘要:
We consider the heat flow of pseudoharmonic maps from a closed pseudohermitian manifold (M2n+1,J,θθ) into a compact Riemannian manifold (Nm,g). In our previous work, we proved the global existence of the solution for the pseudoharmonic map heat flow, provided the sectional curvature of the target manifold N is nonpositive. In this talk, we show that the solution of the pseudoharmonic map heat flow blows up in finite time if the initial map belongs to a nontrivial homotopy class and its initial energy is sufficiently small.

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本年度学院报告总序号:167
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