头像
Yangkai
Lecturer
School of Mathematics
Applied Mathematics Department
Tel:
Email:
Address:
Post:
  • • Lecture, 2018.08-present, Southeast University • Post-doc, 2017.08-2018.08, Hong Kong University of Science and Technology
    • Ph.D. Mathematics, University of Iowa, USA 05/2017 Thesis: Dynamics of the energy critical NLS with inverse square potential. Advisor: Xiaoyi Zhang. • M.S. Mathematics, Memorial University of Newfoundland, Canada 2009-2011 Advisor: Margarita Kondratieva and Sergey Sadov. Mentor: Jie Xiao. • B.S. Mathematics, Xi’an Jiaotong University, China 2005-2009 Advisor: Jigen Peng
  • • K. Yang, C. Zeng and X. Zhang, Dynamics of threshold solutions for energy critical NLS with inverse square potential,SIAM Journal on Mathematical Analysis, 2022, 54(1): 173-219. 

    • K. Yang and X. Zhang, Dynamics of threshold solutions for energy critical NLW with inverse square potential, Math. Z. 302, 353–389 (2022). 

    • K. Yang, Scattering of the focusing energy-critical NLS with inverse square potential in the radial case, Comm. Pure. Appl. Anal., 16 (2021), Volume 20, Number 1, 77-99.

    • B. Li, F. Wang, L. Xue, K. Yang, and K. Zhao, On the Cahn-Hilliard-Brinkman Equations in R^4:Global Well-Posedness, Annals of Applied Mathematics, (37)2021, no.4, 513-536.

    • D. Li, F. Wang, K. Yang, An improved gradient bound for 2D MBE. J. Differ. Equ. 269(12), 11165–11171 (2020).

    • K. Yang, Scattering of the energy-critical NLS with inverse square potential, J. Math. Anal. Appl., 487(2020), 124006.

    • K. Yang, The non-squeezing properties of mass subcritical Hartree equations,  J. Math. Anal. Appl., 449 (2017), 427–455. 

    • K. Yang, The focusing NLS on exterior domains in three dimensions,  Comm. Pure. Appl. Anal., 16 (2017), no. 6, 2269–2297.

    -------------------------------------------------------------------------------------------------------------

    • K. Yang and X. Zhang, Scattering of the focusing energy-critical NLS with inverse square potential in the non-radial case, Preprint, submitted.

    • D. Li and K. Yang, On the gap property of a linearized NLS operator, Preprint, arXiv:2110.14393.

  • • 东南大学第十八届“吾爱吾师”获评“十大最受欢迎教师”2022

    • 江苏省青年基金 2020

    • 江苏省双创博士 2019 

    • Ballard Seashore Dissertation Fellowship, University of Iowa 2017 

    • Graduate Post Comprehensive Summer Fellowship, University of Iowa 2015  

    • AMCS Summer Merit Fellowship, University of Iowa 2012-2014

    • Graduate Officer Award, Memorial University of Newfoundland 2011

    • Honor of Excellent Undergraduate, Xi’an Jiaotong University 200


  • • Dynamics of the energy critical NLS with inverse square potential on ”Frontiers of Theory and Applications of Nonlinear PDE”, Hong Kong University of Science and Technology, 12/2017 


    • Dynamics of the energy critical NLS with inverse square potential

    Xi’an Jiaotong University. 09/2017


    • Dynamics and symplectic non-squeezing properties of some dispersive PDE

    Sun Yat-sen University. 08/2017


    • Dynamics of the energy critical NLS with inverse square potential 03/2017

    Thesis defense, University of Iowa.


    • Symplectic non-squeezing of mass subcritical Hartree equations 10/2016

    Texas Analysis and Mathematical Physics Symposium, Rice University


    • A concentration compactness approach to the sharp Gagliardo-Nirenberg in￾equality 10/2016

    PDE Seminar, University of Iowa.


    • Convergence of Dirichlet Laplacian in dimension three 04/2015
    PDE Seminar, University of Iowa.