Research Interests
Partial differential equation, mathematical physics
Educational background
2017.01－2019.12 Sorbonne Université, Paris, PhD degree obtained in mathematics
2014.09－2017.02 Yonsei University, Seoul, Master degree obtained in mathematics
2010.09－2014.06 Ocean University of China, Qingdao, B.S degree obtained in mathematics
Work Experience
2022.03－ Assistant Professor, Southern University of Science and Technology, Shenzhen, China
2020.01－2022.02 Post-doc, Fudan University, Shanghai, China
Representative paper
10. Generically sharp decay for quasilinear wave equations with null condition, with Siyuan Ma, Ma, and Xu Yuan, preprint arXiv:2212.12115 (2022).
9. 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.
8. 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.
7. 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..
6. 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.
5. 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.
4. 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.
3. 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.
2. 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.
1. 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.
Recruitment information
Postdoctoral are required to be diligent, practical, passionate about scientific research, good at communication, we also welcome excellent doctoral candidates to visit and exchange with the research group. Interested parties should send relevant materials to dongsj@sustech.edu.cn
22. Generically sharp decay for quasilinear wave equations with null condition, with Siyuan Ma, Yue Ma, and Xu Yuan, preprint arXiv:2212.12115 (2022).
21. 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.
20. 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.
19. Asymptotic behavior of 2D Wave-Klein-Gordon coupled system under null condition, with Yue Ma and Xu Yuan, preprint arXiv:2202.08139 (2022), Bull. Sci. Math. 187 (2023), Paper No. 103313.
18. Revisit of the Faddeev Model in Dimension Two, with Zhen Lei, Chin. Ann. Math. Ser. B 43, 797–818 (2022) .
17. 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..
16. Global solution to the cubic Dirac equation in two space dimensions, with Kuijie Li, preprint arXiv:2111.04048 (2021), J. Differential Equations 331 (2022), 192–222.
15. 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.
14. 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.
13. Stability of some two dimensional wave maps, with Zoe Wyatt, preprint arXiv:2103.05318 (2021), to appear in Differential and Integral Equations.
12. Global solution to the Klein-Gordon-Zakharov equations with uniform energy bounds, preprint arXiv:2101.02927 (2021), SIAM Journal on Mathematical Analysis 54 (2022), no. 1, 595–615.
11. Two dimensional wave--Klein-Gordon equations with semilinear nonlinearities, with Zoe Wyatt, preprint arXiv:2011.11990 (2020), NoDEA Nonlinear Differential Equations Appl. 30 (2023), no. 5, Paper No. 59, 32 pp.
10. 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.
8. The zero mass problem for Klein-Gordon equations: quadratic null interactions, preprint arXiv:2004.10467, (2020), Forum of Mathematics, Sigma 10 (2022), Paper No. e27, 23 pp.
7. Stability of a wave and Klein-Gordon system with mixed coupling, preprint arXiv:1912.05578, (2019), to appear in Tohoku Mathematical Journal.
6. Stability of a class of semilinear waves in 2+1 dimension under null condition, preprint arXiv:1910.09828, (2019).
5. Stability of Quasilinear Waves in 1+1 Dimension Under Null Condition, (2019), Journal of Dynamics and Differential Equations 33 (2021), no. 2, 961–970.
4. The zero mass problem for Klein-Gordon equations, preprint arXiv:1905.08620, (2019), Commun. Contemp. Math. 25 (2023), no. 7, Paper No. 2250029, 20 pp.
3. Global evolution of the U(1) Higgs Boson: nonlinear stability and uniform energy bounds, with Philippe G. LeFloch and Zoe Wyatt, preprint arXiv:1902.02685, (2019), Annales Henri Poincare 22 (2021), no. 3, 677–713.
2. The finite volume method on a Schwarzschild background, with Philippe G. LeFloch, preprint arXiv:1901.10973, (2019), ESAIM Math. Model. Numer. Anal. 53 (2019), no. 5, 1459–1476.
1. Stability of a coupled wave-Klein-Gordon system with quadratic nonlinearities, with Zoe Wyatt, preprint arXiv:1811.10022, (2018), Journal of Differential Equations 269 (2020), no. 9, 7470–7497.
