The kernel of a star-shaped curves by MATLAB 2014a

  

高来源 (Laiyuan Gao)

男(male)  1984年出生、江苏徐州人 (born in Xuzhou City, Jiangsu Province, in 1984)    

同济大学理学博士 (Ph.D. of Tongji University)  


现工作于 江苏师范大学数学与统计学院 (I am a teacher in School of Mathematics and Statistics,Jiangsu Normal University).

研究领域:微分几何,几何分析 (Research Interests: differential geometry,geometrical analysis)

教研室:21世纪大楼(静远楼)1418 室 (Office: 1418, 21st Century building (Jingyuan building))             

通信地址:江苏省徐州市铜山新区上海路101号,邮编:221116  

(Address: No.101, Shanghai Road, Xuzhou City, Jiangsu Province, China.)

E-mail:lygao@jsnu.edu.cn    


    

科研工作 (Research):

1.当前主要研究曲线的曲率流问题 (Now, I consider models of curvature flows for curves.)

    对平面中凸曲线的曲率流问题、非局部流问题做了一些工作。正在考虑一些平面星形曲线的非局部流、三维空间曲线的曲率流以及曲面甚至一般 Riemann 流形上曲线的曲率流模型。这些曲线流问题都涉及到求解现实空间中相当复杂的偏微分方程(组),相信将来必定会有实际应用。

2. 将来的研究计划包括两个方面 (I plan to study open problems of curve flows and other topics in geometrical analysis.)

   一是学习和尝试考虑曲线流中的一些深刻的问题。另一个是开始高维曲率流的学习和研究。特别地,我们组织了几何分析--曲率流的讨论班 (每周二,21世纪大楼1506大会议室),希望通过深入学习几何分析问题中的技巧和方法,增强基本功、扩宽眼界,为以后的科研寻找课题和研究动力。


发表论文(Published Papers):

[6] Laiyuan Gao & Yuntao Zhang, Evolving convex surfaces to constant width ones. Internat. J. Math. No.11, Vol. 28 (2017), 1750082, 18 pp. (IJM为陈省身教授的杂志)

[5] Laiyuan Gao & Shengliang Pan, Gage's original normalized CSF can also yield the Grayson theorem. Asian J. Math. No.4, Vol.20 (2016), 785794. (AJM为丘成桐教授的杂志)

[4] Laiyuan Gao & Dong-Ho Tsai, On a third order flow of convex closed plane curves. Taiwanese J. Math. No.3, Vol.20 (2016),553–567.

[3] Laiyuan Gao & Yiling Wang, Deforming convex curves with fixed elastic energy. J. Math. Anal. Appl. No.2, Vol.427 (2015), 817-829.

[2] Laiyuan Gao, Shengliang Pan & Yunlong Yang, Some notes on Green-Osher's inequality. J. Math. Inequal. No.2, Vol.9 (2015), 369-380.

[1] Laiyuan Gao & Shengliang Pan, Evolving convex curves to constant-width ones by a perimeter-preserving flow. Pacific J. Math. No.1, Vol.272 (2014), 131-145.