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Faculty Profile

Detailed information about our faculty member

Shijie DONG

Shijie DONG

Assistant Professor
dongsj@sustech.edu.cn

Research Interests

Nonlinear hyperbolic equations, dispersive equations, and mathematical physics (specifically, existence and asymptotic behavior of nonlinear wave equations, Klein–Gordon equations, Dirac equations, Schrödinger equations, etc.)

Education Background:

Jan. 2017 – Dec. 2019, Ph.D. in Mathematics, Sorbonne Université (Paris, France)

Sep. 2014 – Feb. 2017, M.S. in Computational Mathematics, Yonsei University (Seoul, South Korea)

Sep. 2010 – Jun. 2014, B.S. in Mathematics, Ocean University of China (Qingdao, China)

Sep. 2011 – Jun. 2012, Exchange Program in Mathematics, Shandong University (Jinan, China)

Work Experience:

Mar. 2022 – Present, Assistant Professor, Southern University of Science and Technology (SUSTech, Shenzhen, China)

Jan. 2020 – Feb. 2022, Postdoctoral Researcher, Fudan University (Shanghai, China)

Selected Publications:

  1. Generically sharp decay for quasilinear wave equations with null condition, with Siyuan Ma, Ma, and Xu Yuan, preprint arXiv:2212.12115 (2022).

  2. Global solution to the 3D Dirac–Klein-Gordon system with uniform energy bounds, with Kuijie Li and Xu Yuan, preprint arXiv:2208.14131 (2022), Calc. Var. Partial Differential Equations 62 (2023), no. 5, Paper No. 146, 42 pp.

  3. Global Behavior of Small Data Solutions for The 2D Dirac-Klein-Gordon Equations, with Kuijie Li, Yue Ma, and Xu Yuan, preprint arXiv:2205.12000 (2022), to appear in Transactions of the American Mathematical Society.

  4. Global Existence and Scattering of the Klein-Gordon-Zakharov System in Two Space Dimensions, with Yue Ma, preprint arXiv:2111.00244 (2021), to appear in Peking Math. J..

  5. Hidden structure and sharp asymptotics for the Dirac–Klein-Gordon system in two space dimensions, with Zoe Wyatt, preprint arXiv:2105.13780 (2021), to appear in Annales de l’Institut Henri Poincaré C. Analyse Non Linéaire.

  6. The top-order energy of quasilinear wave equations in two space dimensions is uniformly bounded, with Philippe LeFloch, and Zhen Lei, preprint arXiv:2103.07867 (2021), to appear in Fundamental Research.

  7. Global solution to the Klein-Gordon-Zakharov equations with uniform energy bounds, preprint arXiv:2101.02927 (2021), SIAM J. Math. Anal. 54 (2022), no. 1, 595–615.

  8. Asymptotic Behavior of the Solution to the Klein-Gordon-Zakharov Model in Dimension Two, preprint arXiv:2006.04443, (2020), Communications in Mathematical Physics 384 (2021), no. 1, 587–607.

  9. Global solution to the wave and Klein-Gordon system under null condition in dimension two, preprint arXiv:2005.04767, (2020), Journal of Functional Analysis 281 (2021), no. 11, Paper No. 109232, 29 pp.

  10. The zero mass problem for Klein-Gordon equations: quadratic null interactions, preprint arXiv:2004.10467, (2020), Forum Math. Sigma 10 (2022), Paper No. e27, 23 pp.