李玉祥(東南大學博士生導師)

基本介紹

• 中文名：李玉祥
• 國籍：中國
• 出生地：安徽
• 出生日期：1972
• 主要研究方向：非線性偏微分方程。

個人簡介

李玉祥，安徽人，1972.10生，教授、博士、博士生導師。

主要研究方向：非線性偏微分方程。

教授課程

本科生	複變函數	48學時	3學分
本科生	實變函式論	48學時	3學分
本科生	數學物理方法	48學時	3學分
本科生	線性代數	32學時	2學分
碩士研究生	偏微分方程引論	54學時	3學分
碩士研究生	Sobolev空間	54學時	3學分
碩士研究生	非線性橢圓方程	36學時	3學分

成果獎勵

2006年：東南大學吳健雄袁家騮教學獎 (排名第1位)

科研項目

編號	項目名稱	項目來源	時間
1	帶非線性梯度項的拋物型方程的定性研究 （主持）	國家自然科學基金面上項目	2011年
2	KPZ 方程解的漸近性質 （主持）	江蘇省自然科學基金面上項目	2010年

發表論文

1. Li, Yuxiang. Optimal conditions for a priori estimates for semilinear elliptic systems with two components. Nonlinear Anal. 72 (2010), no. 3-4, 1850–1864,2010

2. 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.,2010

3. Li, Yuxiang. Stabilization towards the steady state for a viscous Hamilton-Jacobi equation. Commun. Pure Appl. Anal. 8 (2009), no. 6, 1917–1924.,2009

4. Fei, Liang; Yuxiang, Li. Blow-up for a nonlocal parabolic equation. Nonlinear Anal. 71 (2009), no. 7-8, 3551–3562,2009

5. Qilin, Liu; Fei, Liang; Li, Yuxiang. Asymptotic behaviour for a non-local parabolic problem. European J. Appl. Math. 20 (2009), no. 3, 247–267,2009

6. Li, Yuxiang. Optimal conditions for $L^\infty$L∞-regularity and a priori estimates for semilinear elliptic systems. J. Math. Anal. Appl. 351 (2009), no. 1, 257–276,2009

7. Wang, Xianchao; Li, Yuxiang. Asymptotical behavior of a nonlocal hyperbolic problem. Far East J. Dyn. Syst. 10 (2008), no. 2, 153–167,2008

8. Liu, Qilin; Li, Yuxiang; Gao, Hongjun. Uniform blow-up rate for a nonlocal degenerate parabolic equations. Nonlinear Anal. 66 (2007), no. 4, 881–889,2007

9. Liu, Qilin; Li, Yuxiang; Gao, Hongjun. Uniform blow-up rate for diffusion equations with nonlocal nonlinear source. Nonlinear Anal. 67 (2007), no. 6, 1947–1957,2007

10. 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, 771–778,2006

11. Liu, Qi Lin; Li, Yu Xiang; Gao, Hong Jun. Blow-up property for a reaction-diffusion system with nonlocal sources. Acta Math. Sinica (Chin. Ser.) 49 (2006), no. 4, 869–882,2006

12. Zou, Xiao Rong; Li, Yao Wen; Li, Yu Xiang. The first eigenvalue $\lambda_{1,p}$λ1,p of the $p$p-Laplace operator. Nihonkai Math. J. 16 (2005), no. 2, 129–133,2005

13. Li, Yuxiang; Wu, Jichun. Extinction for fast diffusion equations with nonlinear sources. Electron. J. Differential Equations 2005, no. 23, 7 pp,2005

14. Li, Yuxiang; Xie, Chunhong. Blow-up for semilinear parabolic equations with nonlinear memory. Z. Angew. Math. Phys. 55 (2004), no. 1, 15–27,2004

15. Li, Yuxiang; Xie, Chunhong. Quasilinear parabolic systems of several components. Math. Ann. 327 (2003), no. 2, 395–407,2003

16. Li, Yuxiang; Liu, Qilin; Xie, Chunhong. Semilinear reaction-diffusion systems of several components. J. Differential Equations 187 (2003), no. 2, 510–519,2003

17. 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, 1573–1582,2003

18. Deng, Weibing; Li, Yuxiang; Xie, Chunhong. -up and global existence for a nonlocal degenerate parabolic system. J. Math. Anal. Appl. 277 (2003), no. 1, 199–217,2003

19. 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, 803–808,2003

20. Deng, Weibing; Li, Yuxiang; Xie, Chunhong. Semilinear reaction-diffusion systems with nonlocal sources. Math. Comput. Modelling 37 (2003), no. 9-10, 937–943,2003

21. Deng, Weibing; Yuxiang, Li; Chunhong, Xie. Global existence and nonexistence for a class of degenerate parabolic systems. Nonlinear Anal. 55 (2003), no. 3, 233–244,2003

22. Liu, Qi Lin; Li, Yu Xiang; Xie, Chun Hong. Blow-up of solutions to a degenerate parabolic equation with localized nonlinear reactions. Acta Math. Sinica (Chin. Ser.) 46 (2003), no. 6, 1135–1142,2003

23. 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, 503–516,2003

24. Li, Yuxiang; Xie, Chunhong. Blow-up for $p$p-Laplacian parabolic equations. Electron. J. Differential Equations 2003, No. 20, 12 pp,2003

25. Li, Yuxiang; Deng, Weibing; Xie, Chunhong. Global existence and nonexistence from degenerate parabolic systems. Proc. Amer. Math. Soc. 130 (2002), no. 12, 3661–3670,2002

學生培養

梁飛	2008屆
汪先超	2008屆
梁金雨	2009屆
秦明方	2009屆
胡艾香	2010屆
馬圓圓	2011屆
馮燕	2011屆
溫學飛	2011屆