李玉祥

東南大學博士生導師

李玉祥,男,安徽人,1972年10月生,畢業於南京大學,現任東南大學教授、博士、博士生導師。

主要研究方向為非線性偏微分方程理論及其應用。

大事件

1972-10

出生

1972年10月出生於安徽。

2002-12

南京大學博士后

2004年12月至2004年12月在南京大學從事地球科學系博士后。

2004-02

開始在東南大學教課

2004年2月開始在東南大學數學學院教課。

2008

任巴黎十三大數學系訪問學者

2008年至2009年任巴黎十三大數學系訪問學者。主要研究方向為偏微分方程及其應用。

人物經歷


教育經歷

時間院校學位
1997年9月-2000年7月南京大學數學系碩士
2000年9月-2002年12月南京大學數學系博士

工作經歷

現任東南大學教授、博士、博士生導師。
2004.12-至今,東南大學數學學院。
2008.2-2009.2,法國巴黎十三大數學系訪問學者。
2002.12-2004.12,南京大學地球科學系博士后。

主要成就


科研成就

研究方向
非線性偏微分方程理論及其應用;非線性Keller-Segel方程的長時間漸近行為、爆破性態分析;非線性熱方程的的長時間漸近行為、爆破性態分析;KPZ界面方程的長時間漸近行為、梯度爆破性態分析。
文章目錄
● ● Li, Feng; Li, Yuxiang Global existence and boundedness of weak solutions to a chemotaxis-Stokes system with rotational flux term. Z. Angew. Math. Phys. 70 (2019), no. 4, Art. 102, 21 pp.
● ● Wang, Hengling; Li, Yuxiang Renormalized solutions to a chemotaxis system with consumption of chemoattractant. Electron. J. Differential Equations 2019, Paper No. 38, 19 pp.
● ● Wang, Hengling; Li, Yuxiang On a parabolic-parabolic system with gradient dependent chemotactic coefficient and consumption. J. Math. Phys. 60 (2019), no. 1, 011502, 20 pp.
● ● Tao, Weirun; Li, Yuxiang Global weak solutions for the three-dimensional chemotaxis-Navier–Stokes system with slow p-Laplacian diffusion. Nonlinear Anal. Real World Appl. 45 (2019), 26–52.
● ● Yan, Jianlu; Li, Yuxiang Global generalized solutions to a Keller-Segel system with nonlinear diffusion and singular sensitivity. Nonlinear Anal. 176 (2018), 288–302.
● ● Zhang, Qingshan; Li, Yuxiang Global solutions in a high-dimensional two-species chemotaxis model with Lotka-Volterra competitive kinetics. J. Math. Anal. Appl. 467 (2018), no. 1, 751–767.
● ● Li, Yan; Li, Yuxiang; Global boundedness of solutions for the chemotaxis-Navier–Stokes system in R.J. Differential Equations261 (2016), no. 11, 6570–6613.
● ● Zhang, Qingshan; Li, Yuxiang An attraction-repulsion chemotaxis system with logistic source. ZAMMZ. Angew. Math. Mech. 96 (2016), no. 5, 570–584.
● ● Li, Yan; Li, Yuxiang Blow-up of nonradial solutions to attraction–repulsion chemotaxis system in two dimensions.Nonlinear Anal. Real World Appl. 30 (2016), 170–183.
● ● Zhang, Qingshan; Li, Yuxiang Boundedness in a quasilinear fully parabolic Keller-Segel system with logistic source.Z. Angew. Math. Phys. 66 (2015), no. 5, 2473–2484.
● ● Zhang, Qingshan; Li, Yuxiang Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system.Discrete Contin. Dyn. Syst. Ser. B 20 (2015), no. 8, 2751–2759.
● ● Zhang, Qingshan; Li, Yuxiang Stabilization and convergence rate in a chemotaxis system with consumption of chemoattractant.J. Math. Phys. 56 (2015), no. 8, 081506, 10 pp.
● ● Zhang, Qingshan; Li, Yuxiang Global weak solutions for the three-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion.J. Differential Equations259 (2015), no. 8, 3730–3754.
● ● Wang, Wenjia; Li, Yuxiang Stabilization in an n-species chemotaxis system with a logistic source.J. Math. Anal. Appl. 432 (2015), no. 1, 274–288.
● ● Zhang, Qingshan; Li, Yuxiang Global boundedness of solutions to a two-species chemotaxis system.Z. Angew. Math. Phys. 66 (2015), no. 1, 83–93.
● ● Li, Yan; Li, Yuxiang Finite-time blow-up in higher dimensional fully-parabolic chemotaxis system for two species.Nonlinear Anal. 109 (2014), 72–84.
● ● Zhang, Qingshan; Li, Yuxiang Global existence and asymptotic properties of the solution to a two-species chemotaxis system.J. Math. Anal. Appl.418 (2014), no. 1, 47–63.
● ● Liu, Xiaopan; Li, Yuxiang On the stability of global solutions to the 3D Boussinesq system.Nonlinear Anal. 95 (2014), 580–591.
● ● Liang, Fei; Liu, Qi Lin; Li, Yu Xiang On a nonlocal problem modelling Ohmic heating in planar domains.Acta Math. Sin. (Engl. Ser.) 29 (2013), no. 3, 523–534.
● ● Li, Yuxiang; Wen, Xuefei Existence of multi-bump solutions for coupled Schrödinger systems.J. Southeast Univ. (English Ed.) 28 (2012), no. 4, 496–501.
● ● Li, Yuxiang Optimal conditions for a priori estimates for semilinear elliptic systems with two components.Nonlinear Anal. 72 (2010), no. 3-4, 1850–1864.
● ● Li, Yuxiang; Souplet, Philippe Single-point gradient blow-up on the boundary for diffusive Hamilton-Jacobi equations in planar domains.Comm. Math. Phys. 293 (2010), no. 2, 499–517.
● ● Li, Yuxiang Stabilization towards the steady state for a viscous Hamilton-Jacobi equation.Commun. Pure Appl. Anal. 8 (2009), no. 6, 1917–1924.
● ● Fei, Liang; Yuxiang, Li Blow-up for a nonlocal parabolic equation.Nonlinear Anal.71 (2009), no. 7-8, 3551–3562.
● ● Qilin, Liu; Fei, Liang; Li, Yuxiang Asymptotic behaviour for a non-local parabolic problem.European J. Appl. Math. 20 (2009), no. 3, 247–267.
● ● Li, Yuxiang Optimal conditions for L-regularity and a priori estimates for semilinear elliptic systems.J. Math. Anal. Appl. 351 (2009), no. 1, 257–276.
● ● Wang, Xianchao; Li, Yuxiang Asymptotical behavior of a nonlocal hyperbolic problem.Far East J. Dyn. Syst.10 (2008), no. 2, 153–167.
● ● Liu, Qilin; Li, Yuxiang; Gao, Hongjun Uniform blow-up rate for diffusion equations with nonlocal nonlinear source.Nonlinear Anal. 67 (2007), no. 6, 1947–1957.
● ● Liu, Qilin; Li, Yuxiang; Gao, Hongjun Uniform blow-up rate for a nonlocal degenerate parabolic equations.Nonlinear Anal. 66 (2007), no. 4, 881–889.
● ● Liu, Qi Lin; Li, Yu Xiang; Gao, Hong Jun Blow-up property for a reaction-diffusion system with nonlocal sources. (Chinese)Acta Math. Sinica(Chin. Ser.) 49 (2006), no. 4, 869–882.
● ● Liu, Qilin; Li, Yuxiang; Gao, Hongjun Uniform blow-up rate for diffusion equations with localized nonlinear source.J. Math. Anal. Appl. 320 (2006), no. 2, 771–778.
● ● Zou, Xiao Rong; Li, Yao Wen; Li, Yu Xiang The first eigenvalue λ1, p of the p-Laplace operator.Nihonkai Math. J. 16 (2005), no. 2, 129–133.
● ● Li, Yuxiang; Wu, Jichun Extinction for fast diffusion equations with nonlinear sources.Electron. J. Differential Equations2005, no. 23, 7 pp. (electronic).
● ● Li, Yuxiang; Xie, Chunhong Blow-up for semilinear parabolic equations with nonlinear memory.Z. Angew. Math. Phys. 55 (2004), no. 1, 15–27.
● ● Deng, Weibing; Li, Yuxiang; Xie, Chunhong A nonlinear degenerate parabolic system with non-local source and crosswise-diffusion.Z. Angew. Math. Phys. 54 (2003), no. 3, 503–516.
● ● Liu, Qi Lin; Li, Yu Xiang; Xie, Chun Hong Blow-up of solutions to a degenerate parabolic equation with localized nonlinear reactions. (Chinese)Acta Math. Sinica(Chin. Ser.) 46 (2003), no. 6, 1135–1142.
● ● Li, Yuxiang; Xie, Chunhong Quasilinear parabolic systems of several components.Math. Ann. 327 (2003), no. 2, 395–407.
● ● Deng, Weibing; Yuxiang, Li; Chunhong, Xie Global existence and nonexistence for a class of degenerate parabolic systems.Nonlinear Anal. 55 (2003), no. 3, 233–244.
● ● Deng, Weibing; Li, Yuxiang; Xie, Chunhong Semilinear reaction-diffusion systems with nonlocal sources.Math. Comput. Modelling37 (2003), no. 9-10, 937–943.
● ● Deng, Weibing; Li, Yuxiang; Xie, Chunhong Existence and nonexistence of global solutions of some nonlocal degenerate parabolic equations.Appl. Math. Lett. 16 (2003), no. 5, 803–808.
● ● Li, Yuxiang; Xie, Chunhong Blow-up for p-Laplacian parabolic equations.Electron. J. Differential Equations 2003, No. 20, 12 pp.
● ● Deng, Weibing; Li, Yuxiang; Xie, Chunhong Blow-up and global existence for a nonlocal degenerate parabolic system.J. Math. Anal. Appl. 277 (2003), no. 1, 199–217.
● ● Li, Yuxiang; Liu, Qilin; Xie, Chunhong Semilinear reaction-diffusion systems of several components.J. Differential Equations187 (2003), no. 2, 510–519.
● ● Deng, Weibing; Li, Yuxiang; Xie, Chunhong Existence and nonexistence of global solutions of some non-local degenerate parabolic systems.Proc. Amer. Math. Soc. 131 (2003), no. 5, 1573–1582.
● ● Li, Yuxiang; Deng, Weibing; Xie, Chunhong Global existence and nonexistence from degenerate parabolic systems.Proc. Amer. Math. Soc. 130 (2002), no. 12, 3661–3670.
主持項目
國家自然科學基金,11671079,非線性Keller-Segel方程的定性研究,2017.01-2020.12。
國家自然科學基金,11171063,帶非線性梯度項的拋物型方程的定性研究,2012.01-2015.12。
江蘇省自然科學基金,BK2010404,KPZ方程解的漸近性質,2010.08-2013.08。
國家自然科學基金,10601012,非線性拋物型方程的blow-up現象,2007.01-2009.12。
參加會議
2016.10.14-16,2016可積系統與偏微分方程國際學術研討會,江蘇大學鎮江
2016.09.22-25,“反應擴散方程及其應用”學術研討會,江蘇師範大學徐州
2016.07.01-05,The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications,Orlando, Florida,USA.
2015.12.25-27,長江三角洲偏微分方程學術研討會,復旦大學
2015.8.19-22,高校數學類專業涉及“教材建設”和“課堂講授”的教學研討會,蘭州大學
2015.8.7-9,非線性偏微分方程及其應用國際學術會議,北京工業大學
2015.8.1-3,第十三屆非線性偏微分方程暑期講習班國際學術會議,華中師範大學
2015.5.21-24,Recent advances in reaction-diffusion equations and applications,江蘇師範大學。
2014.12.5,非線性偏微分方程青年論壇,南京航空航天大學
2014.8.1-5,第十二屆非線性偏微分方程暑期講習班國際學術會議,四川師範大學。
2014.6.27-28,“應用偏微分方程及其數值計算”青年論壇流體與生物中的偏微分方程專題。
2013.12.21-22,長江三角洲偏微分方程學術研討會暨博士生論壇,同濟大學
2013.8.1-4,第十一屆非線性偏微分方程暑假講習班和學術研討會,北京工業大學。
2012.9.10-14, 5th Euro-Japanese Workshop on Blow-Up, Marseille, France.
2012.5.21-25, 7th European Conference on Elliptic and Parabolic Problems, Gaeta, Italy.

教學成就

所帶學生
博士后:李彬(2020.01)碩士生:金泰安、毛亞茹(2020),余麗伶(2019),毛宣、孫春雷(2018),劉萌(2017),張偉洪(2016),楊盼(2013),劉姣、郭楠楠(2012),馮燕、溫雪飛、馬園園(2009),胡艾香(2008),秦明方、梁金雨(2007),汪先超、梁飛(2006)。
博士生:謝周猛(2020.3),劉萌(碩轉博2019.9),王萬萬(2018.3),王恆玲(2017.9),李鋒(2016.3),閆建璐(本科直博2015.9),陶為潤(本科直博2014.9),張清山(2013.3),李燕(碩博連讀 2011.9),劉曉盼(2011.9),王文佳(碩博連讀2010.9)
★閆建璐2019.10-2020.10赴德國聯合培養。
★陶為潤2018.10-2019.10赴德國聯合培養。
★李燕2014.9-2015.9赴德國聯合培養,獲得2017年度國家青年科學基金、江蘇省青年科學基金、江蘇省教育廳高校自然科學基金
★張清山獲得2015年度博士生國家獎學金、2016年度國家青年科學基金、2017年度江蘇省優秀博士論文。

社會活動


美國數學評論員。
數學期刊審稿人。

獲得榮譽


時間獎項全稱頒發機構
2006年吳健雄袁家騮教學獎東南大學