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宋先发

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 访问学者
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 访问学者
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 Schrödinger 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 Schrödinger 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 Schrödinger 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 Schrödinger 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)

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