快捷导航：
研究方向
教育背景
工作经历
教学工作
科研工作
主要荣誉
学术兼职
其它
发表论文

宋先发 职称：
副教授
院系：
数学系
电子邮箱：
songxianfa2004@163.com
办公地点：
北洋园校区32教432



研究方向 偏微分方程定性研究
教育背景 1990.09 - 1994.06 吉首大学 学士
1998.09 - 2003.12 大连理工大学 博士

工作经历 1994.07 -1998.08 湖南省怀化市第二中学 教师
2004.01-2006.02 清华大学数学科学系 博士后
2006.03 - 2008.05 中国矿业大学（北京）数学系 系主任兼院长助理，副教授，硕士生导师
2008.06 -2014.06 天津大学理学院 副教授，硕士生导师
2014.06-2015.06 赴美国休斯顿大学 访问****
2015.09 - 今 天津大学理学院 副教授
教学工作 1994.07 -1998.08 湖南省怀化市第二中学 教师
2004.01-2006.02 清华大学数学科学系 博士后
2006.03 - 2008.05 中国矿业大学（北京）数学系 系主任兼院长助理，副教授，硕士生导师
2008.06 -2014.06 天津大学理学院 副教授，硕士生导师
2014.06-2015.06 赴美国休斯顿大学 访问****
2015.09 - 今 天津大学理学院 副教授
科研工作 基金项目 身份
2005-2006 中国博士后科学基金资助项目：爆破或淬火现象发生时非线性抛物型方程（组）解的估计 主持人
2011-2013 临界点理论及其在非线性偏微分方程中的应用 参加
2015-2018 不变集理论及其应用中若干问题的研究 参加
文章著作 列表附后

主要荣誉

学术兼职 1. 担任过以下SCI杂志(按杂志字母排序）审稿人：
Acta Mathematica Scientia；
Applicable Analysis
Applied Mathematics and Computation;
Applied Mathematics Letters;
Boundary Value Problems;
Bulletin of the Korean Mathematical Society；
Computers and Mathematics with Applications;
Communications on Pure and Applied Analysis；
Discrete and Continuous Dynamical System - B；
Mathematical Methods in the Applied Sciences；
Nonlinear Analysis, Real World and Applications;
Zeitschrift für angewandte Mathematik und Physik。
2. 担任过的杂志编委
Editorial Board of Chinese Journal of Mathematics.
其它
发表论文
1.An, Xiaowei and Song Xianfa, The lower bound for the blowup time of the solution to a quasi-linear parabolic problem. Appl. Math. Lett. 69?(2017),?82–86.

2.Lu, Jing, Bao, Aiguo and Song Xianfa, Estimates on the blowup time for a quasilinear parabolic system. Appl. Anal. 96?(2017),?no. 4, 652–662.

3.Li, Fang, Peng, Rui and Song Xianfa, Global existence and finite time blow-up of solutions of a Gierer-Meinhardt system. J. Differential Equations 262?(2017),?no. 1, 559–589.

4.Wang, Ning; Song, Xianfa; Lv, Xiaoshuang Estimates for the blowup time of a combustion model with nonlocal heat sources. J. Math. Anal. Appl. 436?(2016),?no. 2, 1180–1195.（被引用1次，第一、第三作者为自己的硕士生）

5.Bao, Aiguo; Song, Xianfa Bounds for the blowup time of the solution to a parabolic system with nonlocal factors in nonlinearities. Comput. Math. Appl. 71?(2016),?no. 3, 723–729.（被引用1次，第一作者为自己的硕士生）

6.Song, Xianfa; Lv, Xiaoshuang Bounds for the blowup time and blowup rate estimates for a type of parabolic equations with weighted source. Appl. Math. Comput. 236?(2014),78–92.（被引用3次，第二作者为自己的硕士生）

7.Lv, Xiaoshuang; Song, Xianfa Bounds of the blowup time in parabolic equations with weighted source under nonhomogeneous Neumann boundary condition. Math. Methods Appl. Sci.37?(2014),?no. 7, 1019–1028.（被引用4次，第一作者为自己的硕士生）

8.Bao, Aiguo; Song, Xianfa Bounds for the blowup time of the solutions to quasi-linear parabolic problems. Z. Angew. Math. Phys. 65?(2014),?no. 1, 115–123. （被引用13次，第一作者为自己的硕士生）

9.An, Xiaowei; Li, Desheng; Song, Xianfa Phenomena of blowup and global existence of the solution to a nonlinear Schr?dinger equation. Abstr. Appl. Anal. 2013,?Art. ID 238410, 14 pp.

10.An, Xiaowei; Song, Xianfa A note on blow-up analysis for a system of semilinear parabolic equations. Nonlinear Anal. Real World Appl. 12?(2011),?no. 1, 611–614.

11.Song, Xianfa; Zhao, Lin Gradient estimates for the elliptic and parabolic Lichnerowicz equations on compact manifolds. Z. Angew. Math. Phys. 61?(2010),?no. 4, 655–662. （被引用3次）

12.Ma, Li; Song, Xianfa; Zhao, Lin New monotonicity formulae for semi-linear elliptic and parabolic systems. Chin. Ann. Math. Ser. B 31?(2010),?no. 3, 411–432.（被引用2次）

13.An, Xiaowei; Song, Xianfa Blow-up rate estimates for a parabolic system with multiple nonlinearities. Math. Methods Appl. Sci. 33?(2010),?no. 5, 632–642.

14.Song, Xianfa Sharp thresholds of global existence and blowup for a system of Schr?dinger equations with combined power-type nonlinearities. J. Math. Phys. 51?(2010),?no. 3,033509, 21 pp.（被引用9次）

15.Song, Xianfa Stability and instability of standing waves to a system of Schr?dinger equations with combined power-type nonlinearities. J. Math. Anal. Appl. 366?(2010),?no. 1, 345–359.（被引用9次）

16.Ma, Li; Song, Xianfa; Zhao, Lin On global rough solutions to a non-linear Schr?dinger system. Glasg. Math. J. 51?(2009),?no. 3, 499–511.（被引用1次）

17.Song, Xianfa Blow-up analysis for a system of heat equations with nonlinear flux which obey different laws. Nonlinear Anal. 69?(2008),?no. 7, 1971–1980.（被引用8次）

18.Zheng, SiNing; Song, XianFa Quenching rates for heat equations with coupled singular nonlinear boundary flux. Sci. China Ser. A 51?(2008),?no. 9, 1631–1643.（被引用4次）

19.Ma, Li; Zhao, Lin; Song, Xianfa Gradient estimate for the degenerate parabolic equation ut=ΔF(u)+H(u) on manifolds. J. Differential Equations 244?(2008),?no. 5, 1157–1177. （被引用9次）

20.Song, Xianfa Blow-up analysis for a system of heat equations coupled via nonlinear boundary conditions. Math. Methods Appl. Sci. 30?(2007),?no. 10, 1135–1146.（被引用4次）

21.Song, Xianfa; Zheng, Sining; Jiang, Zhaoxin Blow-up analysis for a nonlinear diffusion system. Z. Angew. Math. Phys. 56?(2005),?no. 1, 1–10.（被引用12次）

22.Zheng, Sining; Liang, Wenmiao; Song, Xianfa Critical exponents in a parabolic system with inner absorption and coupled nonlinear boundary flux. Appl. Math. Comput. 154?(2004),no. 2, 567–581.（被引用3次）

23.heng, Sining; Song, Xianfa; Jiang, Zhaoxin Critical Fujita exponents for degenerate parabolic equations coupled via nonlinear boundary flux. J. Math. Anal. Appl. 298?(2004),no. 1, 308–324. （被引用35次）

24.Zheng, Sining; Song, Xianfa Interactions among multi-nonlinearities in a nonlinear diffusion system with absorptions and nonlinear boundary flux. Nonlinear Anal. 57?(2004),no. 4, 519–530.（被引用7次）

25.Song, Xianfa; Zheng, Sining Multinonlinear interactions in quasi-linear reaction-diffusion equations with nonlinear boundary flux. Math. Comput. Modelling 39?(2004),?no. 2-3, 133–144.（被引用6次）

26.Jiang, Zhaoxin; Zheng, Sining; Song, Xianfa Blow-up analysis for a nonlinear diffusion equation with nonlinear boundary conditions. Appl. Math. Lett. 17?(2004),?no. 2, 193–199.（被引用4次）

27.Song, Xianfa; Zheng, Sining Blow-up analysis for a quasilinear parabolic system with multi-coupled nonlinearities. J. Math. Anal. Appl. 281?(2003),?no. 2, 739–756. （被引用16次）

28.Song, Xianfa; Zheng, Sining Blow-up and blow-up rate for a reaction-diffusion model with multiple nonlinearities. Nonlinear Anal. 54?(2003),?no. 2, 279–289.（被引用11次）