厦门大学数学科学学院数学与应用数学系导师介绍：宋翀

作者：聚创厦大考研网-小厦老师 点击量： 824 发布时间： 2018-08-10 11:51 微信号： H17720740258

系别： 数学与应用数学系 办公室：海韵物机楼616 教师：宋翀 职称：副教授 职务：教师 Phone：0592-2580620 Email： songchong (at) xmu.edu.cn 研究方向： 几何分析/Geometric analysis

Song, Chong / 宋翀

(Last updated on Aug. 2018)

 

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Research Interests

Geometric analysis, including:

Blow-up analysis, Harmonic maps, Yang-Mills-Higgs fields;

Hamiltonian Geometric flows, geometric solitons.

 

Research papers:

1.“Critical points of Yang-Mills-Higgs functional”,Commun. Contemp. Math. , Vol. 13, No. 3, 463–486(2011). 

2.“The KdV-Airy curve and the Schrodinger-Airy curve”, , 140, 635-644(2012).

3.“Schrodinger solitons from Lorentzian manifolds”(with Youde Wang),Acta Mathematica Sinica, English Series”, Vol. 27, No. 8, 1455-1476(2011).

4.“The Cauchy problem of generalized Landau-Lifshitz equation into Sn”(with Jie Yu),Science in China Series A, Vol. 56, No. 2, 283-300(2013).

5.“Geometric soliton of Hamiltonian flow on manifolds”(with Xiaowei Sun, Youde Wang),Journal of Mathematical Physics, Vol. 54, No. 12,121505(2013).

6.“Convergence of Yang-Mills-Higgs fields”, Math. Ann. Vol. 366, No. 1, 167-217(2016).

7.“Heat flow of Yang-Mills-Higgs functional in dimension two”(with Changyou Wang), J. Funct. Anal. 272, No. 11, 4709–4751 (2017).

8. "Gauss map of Skew mean curvature flow", Proc. Amer. Math. Soc. 145, no. 11, 4963–4970(2017).

9.“Uniqueness of Schrodinger flow on manifolds"(with Youde Wang), Comm. Anal. Geom. 26, no. 1, 217–235(2018).

10.“Skew Mean Curvature Flow”(with Jun Sun), Commun. Contemp. Math. (2017),DOI

11. "Hessian estimates for convex solutions to quadratic Hessian equation"(With Matt McGonagle, Yu Yuan), Ann. I. H. Poincaré - AN(2018), doi

12. "The boundary value problem for Yang--Mills--Higgs fields"(With Wangjun Ai, Miaomiao Zhu), 2017, arXiv:1711.05976.

 

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Working Experiences

2013.8--             Associate Professor,

2011.6--2013.7   Assistant Professor,

School of Mathematical Sciences, Xiamen Univ., China

2009.7--2011.6   Postdoc , Advisor: Tian, Gang

School of Mathematical Sciences, Peking Univ., China

 

Higher Education

2004.9--2009.7  Ph.D. , Academy of Mathematics, Chinese Academy of Sciences, China   Advisor: Wang, Youde and Tian, Gang

2000.9--2004.7  B.S., School of Mathematics, Wuhan University, China

 

Visiting positons

University of Kentucky(hosted by Wang, Changyou), March 1–April 25, 2013  AMS Fan Fund China Exchange Program

University of British Coulumbia(hosted by Chen, Jingyi), June 1-August 30, 2015

University of Washington(hosted by Yuan, Yu), September 7, 2015-September 7, 2016 CSC visiting scholar

 

Conference talks:

"Integrability in Machenics and Geometry: Theory and Computations",  ICERM, Brown Univ. June 5, 2015 Video 

 

Research Grants

5. 2017, "斜平均曲率流". Fundamental Research Funds for the Central University，no. 20720170009;

4. 2014-2016, "扭曲调和映射的若干问题及其应用",  Natural Science Foundation of Fujian Province of China, no. 2014J01023;

3.2013-2015, "KdV曲线与KdV孤立子", NSFC, no. 11201387;

2.2013-2015, "一类几何偏微分方程的爆破分析". Specialized Research Fund for the Doctoral Program of Higher Education(SRFDP), no. 20120121120022;

1. 2011, "扭曲调和映射模空间的紧化", China Postdoctoral Science Foundation，no. 201110490223.

 

 

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