宋翀，博士，廈門大學數學科學學院教師。
基本介紹
- 中文名：宋翀
- 學位/學歷：博士
- 職業：教師
- 專業方向：幾何分析
- 任職院校：廈門大學
個人經歷,研究方向,學術成果,
個人經歷
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
研究方向
Research Interests
Geometric analysis, including:
Blow-up analysis of Harmonic maps and Yang-Mills-Higgs fields;
Hamiltonian Geometric flows, especially Skew mean curvature flow, Schrodinger map flow and their geometric solitons.
學術成果
Conference talks:
"Integrability in Machenics and Geometry: Theory and Computations", ICERM, Brown Univ. June 5, 2015 Video
Research Grants
6. 2020-2023, "具有物理背景的兩類幾何發展方程研究", NSFC 面上項目, no. 11971400;
5. 2017-2019, "斜平均曲率流". Fundamental Research Funds for the Central University，no. 20720170009;
4. 2014-2016, "扭曲調和映射的若干問題及其套用", Natural Science Foundation of Fujian Province of China, no. 2014J01023;
3.2013-2015, "KdV曲線與KdV孤立子", NSFC 青年項目, no. 11201387;
2.2013-2015, "一類幾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, "扭曲調和映射模空間的緊化", China Postdoctoral Science Foundation，no. 201110490223.
Research papers:
Preprints:
15. "Local existence and uniqueness of skew mean curvature flow", arXiv:1904.03822.
14. "Harmonic maps with free boundary from degenerating bordered Riemann surfaces"(with Lei Liu, Miaomiao Zhu), arXiv:1904.01539
Published papers:
13. "Isolated singularities of Yang-Mills-Higgs fields on surfaces"(with Bo Chen), Intern. Math. Res. Not. (2020),
12. "The boundary value problem for Yang--Mills--Higgs fields"(with Wanjun Ai, Miaomiao Zhu), Calc. Var. PDE. 58(4), paper no. 157 (2019), .
11. "Hessian estimates for convex solutions to quadratic Hessian equation"(with Matt McGonagle, Yu Yuan), Ann. I. H. Poincaré - AN, 36(2), 451-454 (2019), doi
10.“Skew Mean Curvature Flow”(with Jun Sun), Commun. Contemp. Math. Vol. 21, No. 01, 1750090 (2019),
9.“Uniqueness of Schrodinger flow on manifolds”(with Youde Wang), Comm. Anal. Geom. 26, no. 1, 217–235(2018).
8. "Gauss map of Skew mean curvature flow", Proc. Amer. Math. Soc. 145, no. 11, 4963–4970(2017).
7.“Heat flow of Yang-Mills-Higgs functional in dimension two”(with Changyou Wang), J. Funct. Anal. 272, No. 11, 4709–4751 (2017).
6.“Convergence of Yang-Mills-Higgs fields”, Math. Ann. Vol. 366, No. 1, 167-217(2016).
5.“Geometric soliton of Hamiltonian flow on manifolds”(with Xiaowei Sun, Youde Wang),Journal of Mathematical Physics, Vol. 54, No. 12,121505(2013).
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).
3.“The KdV-Airy curve and the Schrodinger-Airy curve”, Proc. Amer. Math. Soc., 140, 635-644(2012).
2.“Schrodinger solitons from Lorentzian manifolds”(with Youde Wang),Acta Mathematica Sinica, English Series”, Vol. 27, No. 8, 1455-1476(2011).
1.“Critical points of Yang-Mills-Higgs functional”,Commun. Contemp. Math., Vol. 13, No. 3, 463–486(2011)
