头像
李玉祥
教授
数学学院
应用数学系
电话:
邮箱:
lieyx@seu.edu.cn
地址:
数学学院 541 办公室
邮编:
211189

  • 个人简介
    李玉祥,东南大学数学学院教授,博士生导师,江苏省优秀博士学位论文指导教师(2017年度),2020年获教育部自然科学二等奖(排一)。2002年博士毕业于南京大学数学系,2008-02至2009-02赴法国巴黎十三大数学系做访问学者。在非线性抛物型方程的定性性质方面,获得了一些深刻细致的结果。部分结果发表在国际重要数学期刊 CMP、Math. Ann.、Nonlinearity、M3AS、JDE、Ann. Henri Poincaré、European J. Appl. Math. 等。作为项目主持人,已经完成多项国家自然科学基金,目前主持在研一项国家自然科学基金面上项目。已毕业博士生 9 人,目前在读博士生 5 人。

    研究方向
    非线性偏微分方程的存在性、正则性、定性性质研究

    欢迎优秀学生报考本科直博生、硕士研究生,请联系报考的同学附上完整简历。
    ◆博士后◆ 李彬 (2020)
    博士生
    ◆ 唐睿(24.3)
    ◆ 曾紫玥(23.3)
    ◆ 张志广(22.9)
    ◆ 金泰安(22.3)
    ◆ 毛宣 (21.3)
    ◆ 谢周猛(20.3)
    ◆ 刘萌(19.9)
    ◆ 王万万(18.3)王恒玲(17)
    ◆ 李锋(16.3)
    ◆ 闫建璐(15.9) 陶为润(14.9)
    ◆ 张清山(13.3)
    ◆ 李燕(13.3)
    ◆ 刘晓盼(11.3)
  • ●文章目录●

    https://mathscinet.ams.org/mathscinet/author?authorId=699784

    Mao, Xuan; Li, Yuxiang Critical mass for Keller–Segel systems with supercritical nonlinear sensitivity. Math. Models Methods Appl. Sci.33 (2023), no. 11, 2395–2423.

    Liu, Meng; Li, Yuxiang Global solvability of a chemotaxis-haptotaxis model in the whole 2-d space. Math. Biosci. Eng. 20 (2023), no. 4, 7565–7593.

    Li, Yuxiang; Wang, Wanwan Finite-time blow-up and boundedness in a 2D Keller-Segel system with rotation. Nonlinearity 36 (2023), no.1, 287–318.

    Liu, Meng; Li, Yuxiang Global generalized solutions of a haptotaxis model describing cancer cells invasion and metastatic spread. Commun. Pure Appl. Anal. 21 (2022), no. 3, 927–942.

    Li, Bin; Li, Yuxiang On a chemotaxis-type Solow-Swan model for economic growth with capital-induced labor migration. J. Math. Anal. Appl. 511 (2022), no. 2, Paper No. 126080, 17 pp.

    Li, Bin; Li, Yuxiang Global existence and eventual smoothness in a 2-D parabolic-elliptic system arising from ion transport networks. J. Differential Equations 305 (2021), 1–44.

    Li, Bin; Li, Yuxiang Blowup criterion of classical solutions for a parabolic-elliptic system in space dimension 3. Proc. Amer. Math. Soc. 149 (2021), no. 12, 5291–5303.

    Liu, Meng; Li, Yuxiang Finite-time blowup in attraction-repulsion systems with nonlinear signal production. Nonlinear Anal. Real World Appl. 61 (2021), Paper No. 103305, 21 pp.

    Sun, Chunlei; Li, Yuxiang Global bounded solution to a chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis. J. Math. Anal. Appl. 495 (2021), no. 1, Paper No. 124665, 24 pp.

    Wang, Wanwan; Li, Yuxiang Boundedness and finite-time blow-up in a chemotaxis system with nonlinear signal production. Nonlinear Anal. Real World Appl. 59 (2021), Paper No. 103237, 21 pp.

    Yan, Jianlu; Li, Yuxiang Existence and boundedness of solutions for a Keller-Segel system with gradient dependent chemotactic sensitivity. Electron. J. Differential Equations 2020, Paper No. 122, 14 pp.

    Wang, Hengling; Li, Yuxiang Boundedness in prey-taxis system with rotational flux terms. Commun. Pure Appl. Anal. 19 (2020), no. 10, 4839–4851.

    Wang, Wanwan; Li, Yuxiang Interaction functional with nonlinear diffusion and exogenous potential. Ann. Henri Poincaré 21 (2020), no. 8, 2637–2653.

    Tao, Weirun; Li, Yuxiang Boundedness of weak solutions of a chemotaxis-Stokes system with slow p-Laplacian diffusion. J. Differential Equations 268 (2020), no. 11, 6872–6919.

    Li, Feng; Li, Yuxiang Global solvability and large-time behavior to a three-dimensional chemotaxis-Stokes system modeling coral fertilization. J. Math. Anal. Appl. 483 (2020), no. 2, 123615, 15 pp.

    Li, Feng; Li, Yuxiang Global existence of weak solution in a chemotaxis-fluid system with nonlinear diffusion and rotational flux. Discrete Contin. Dyn. Syst. Ser. B 24 (2019), no. 10, 5409–5436.

    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 R2. J. Differential Equations 261 (2016), no. 11, 6570–6613.

    Zhang, Qingshan; Li, Yuxiang An attraction-repulsion chemotaxis system with logistic source. ZAMM Z. 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 Equations 259 (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 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.

    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, 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.

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

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

    Li, Yuxiang; Xie, Chunhong Quasilinear parabolic systems of several components. Math. Ann. 327 (2003), no. 2, 395–407.
    Li, Yuxiang; Xie, Chunhong Blow-up for p-Laplacian parabolic equations. Electron. J. Differential Equations 2003, No. 20, 12 pp.

    Li, Yuxiang; Liu, Qilin; Xie, Chunhong Semilinear reaction-diffusion systems of several components. J. Differential Equations187 (2003), no. 2, 510–519.

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

  • ●在研项目●

    国家自然科学基金, 几类非线性交错扩散抛物型方程组的爆破性质研究, 2023.01-2026.12


    ●荣誉●

    2020年, 教育部自然科学二等奖

    2017年, 江苏省优秀博士论文指导教师

  •  江苏省数学会理事