数学系应聘者公开试讲

发布时间: 2017-04-05 05:51:53 浏览次数: 591 供稿:数学系

演讲人:张鹏

讲座时间:2017-04-14 14:00:00

讲座地点:信息楼343室

讲座内容

报告题目:Generalized Ginzburg–Landau equations in high dimensions

报告摘要:In this talk, we present some results on critical points of the generalized Ginzburg–Landau equations in dimensions n ≥ 3 which satisfy a suitable energy bound, but are not necessarily energy-minimizers. When the parameter in the equations tends to zero, such solutions are shown to converge to singular n-harmonic maps into spheres, and the convergence is strong away from a finite set consisting (1) of the infinite energy singularities of the limiting map, and (2) of points where bubbling off of finite energy n-harmonic maps could take place. The latter case is specific to dimensions >2. We also exhibit a criticality condition satisfied by the limiting n-harmonic maps which constrains the location of the infinite energy singularities. Finally we construct an example of on-minimizing solutions to the generalized Ginzburg–Landau equations satisfying our assumptions.

附:张鹏博士简历

演讲人简介