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杨鑫
副研究员
数学学院
应用数学系
电话:
邮箱:
xinyang@seu.edu.cn
地址:
九龙湖校区图书馆北楼549
邮编:
  • 杨鑫,本科毕业于清华大学 (Tsinghua University) (2007-2011), 博士毕业于密歇根州立大学 (Michigan State University) (2011-2017). 我的研究方向为偏微分方程,主要研究课题涉及发展方程的适定性与爆破。
    以下是我的工作经历:(1)2017-2019: 辛辛那提大学 (University of Cincinnati),博士后(2)2019-2020: 弗吉尼亚理工大学 (Virginia Tech),讲师(3)2020-2023: 加州大学河滨分校 (University of California, Riverside) ,博士后(4)2023--:东南大学 (Southeast University),副研究员

  • (12) Sichen Chen, Nicolas J-B. Brunel, Xin Yang and Xinping Cui, Learning interactions in reaction diffusion equations by 

    neural networks, Entropy, 25(3):489, 2023.


    (11) Xin Yang, Chulan Zeng and Qi S. Zhang, Smooth solutions to the heat equation which are nowhere analytic in time,  

    To appear in Proc. Amer. Math. Soc., arXiv:2109.07014.


    (10) Shu-Ming Sun, Xin Yang, Bing-Yu Zhang and Ning Zhong, Sharp Kato smoothing properties of weakly dissipated KdV equations  

    with variable coefficients on a periodic domain, Discrete Contin. Dyn. Syst., 42(12):6139-6162, 2022.


    (9) Xin Yang and Bing-Yu Zhang, Well-posedness and critical index set of the Cauchy problem for the coupled KdV-KdV systems on T, 

    Discrete Contin. Dyn. Syst., 42(11):5167-5199, 2022.


    (8) Xin Yang and Bing-Yu Zhang, Local well-posedness of the coupled KdV-KdV systems on R,

    Evol. Equ. Control Theory, 11(5):1829-1871, 2022.


    (7) Shenghao Li, Min Chen, Xin Yang and Bing-Yu Zhang, Lower regularity solutions of the non-homogeneous boundary-value 

    problem for a higher order Boussinesq equation in a quarter plane, Nonlinear Anal., 221:Paper No.112893, 29pp, 2022.


    (6) Shu-Ming Sun, Xin Yang, Bing-Yu Zhang and Ning Zhong, Kato smoothing properties of a class of nonlinear dispersive wave 

    equations on a periodic domain, ESAIM Control Optim. Calc. Var., 27:Paper No.12, 27pp, 2021.


    (5) Xin Yang, Integral of negative powers of cubic functions,

    Appl. Math. Lett., 118:Paper No.107158, 7pp, 2021.


    (4) Xin Yang and Zhengfang Zhou, Lifespan estimates via Neumann heat kernel,

    Z. Angew. Math. Phys., 70(1):Paper No.30, 26pp, 2019.


    (3) Xin Yang and Zhengfang Zhou, Improvements on lower bounds for the blow-up time under local nonlinear Neumann conditions,  

    J. Differential Equations, 265(3):830-862, 2018. 


    (2) Xin Yang and Zhengfang Zhou, Blow-up problems for the heat equation with a local nonlinear Neumann boundary condition,  

    J. Differential Equations, 261(5):2738-2783, 2016. 


    (1) Xin Yang and Zhengfang Zhou, Revisit to Fritz John's paper on the blow-up of nonlinear wave equations, 

    Appl. Math. Lett., 55:27-35, 2016.