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学术报告十二:Boundary bubbling analysis of approximate harmonic maps under weak anchoring condition in

来源:数学与统计学院     作者:     时间:2017/6/5 11:39:56  0次

数学与统计院学术报告[2017] 012

(高水平大学建设系列报告082)

 

讲座题目Boundary bubbling analysis of approximate harmonic maps  under  weak anchoringcondition in dimension two

讲座人:Changyou Wang (Purdue University, USA) 

讲座时间:6月7日下午3:00-4:00

讲座地点:科技楼514                                 

报告内容

We consider a sequence of weakly convergent,  approximate harmonic maps $u_k$ from a two dimensional domain $\Omega$ into a compact Rimenanian manifold $(N,h)$ under a weak anchoring condition $g:\partial\Omega\to N$, which can be viewed as critical points of $$1/2\int_\Omega (|Du|^2+\langle\tau, u\rangle)+w/2\int_{\partial\Omega}|u-g|^2,$$ where $\tau$ is a given tension field.  Under mild conditions on $\tau_k$ and $g_k$, we obtain a global energy quantization result, which account for the loss of energy by a finite number of harmonic $2$ spheres. This is a joint work with Tao Huang, NYU-Shanghai.

报告人简历:

Changyou Wang received his PhD at Rice University at 1996, and is currently a Professor of Mathematics at Purdue University. His research interests are nonlinear partial differential equations arising from geometric variational problems, calculus of variations, and applied mathematics.

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数学与统计学院

2017-06-05

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