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徐新冬
副教授
数学学院
应用数学系
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邮箱:
xindong.xu#seu.edu.cn
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  • 研究方向为哈密顿系统与KAM理论。
    2009-2011年在意大利Napoli Federdic II 大学进行博士后研究, 2011年- 任教于东南大学数学系
    2003-2009 南京大学数学系研究生

  • 12,Xu, X. KAM Theorem for a Hamiltonian System with Sublinear Growth Frequencies at Infinity. J Dyn Diff Equat32, 2079–2108 (2020). 


    11,Wu,Hao; Xu,Xindong; Zhang,Dongfeng; On the ultradifferentiable normalization, Mathematische Zeitschrift,2021,  1-29,  https://doi.org/10.1007/s00209-021-02708-8.


    10,Xindong Xu,Jiangong You, Qi Zhou; Quasi-periodic  solutions of NLS with Liouvillean Frequencies, To appear in Analysis & PDE


    9,Xu, Xindong;  Quasi-Periodic Solutions for Fractional Nonlinear Schrödinger Equation.J. Dynam. Differential Equations 30  (2018),  no. 4, 1855–1871


    8,Xu, Xindong  Quasi-periodic solutions for  class of Hamiltonian partial differential equations with fixed constant potential,Frontiers of Mathematics in China,Front. Math. China 13  (2018),  no. 1, 227–254


    7, Xu, Xindong; Zhang, Dongfeng; Full dimension tori of Schrödinger   equation. J. Math. Phys. 57 (2016), no. 11, 112702, 17 pp.   


    6, Wu, Jian; Xu, Xindong A KAM theorem for some partial differential equations in one dimension. Proc. Amer. Math. Soc. 144 (2016), no. 5,


    5, Shi, Yanling; Xu, Junxiang; Xu, Xindong On quasi-periodic solutions for generalized Boussinesq equation with quadratic nonlinearity. J. Math. Phys. 56 (2015), no. 2, 022703, 15 pp. 35Q53 (35B15) 


    4,Procesi, Michela; Xu, Xindong Quasi-Töplitz functions in KAM theorem. SIAM J. Math. Anal. 45 (2013), no. 4, 2148–2181.

     

    3,Geng, Jiansheng; Xu, Xindong Almost periodic solutions of one dimensional Schrödinger equation with the external parameters. J. Dynam. Differential Equations 25 (2013), no. 2, 435–450.



    2,Geng, Jiansheng; Xu, Xindong; You, Jiangong An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation. Adv. Math. 226 (2011), no. 6, 5361–5402.


    1, Xu, XinDong; Geng, JianSheng KAM tori for higher dimensional beam equation with a fixed constant potential. Sci. China Ser. A 52 (2009), no. 9, 2007–2018.   




     

  • 主持 国家自然科学基金青年基金 (执行时间2014-2016)

    主持 国家自然科学面上项目 (执行时间2018-2021)

    参加若干项自然科学基金