Research fields
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.)
Selected publications and preprints
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).
7. Global Existence and Scattering of the Klein-Gordon-Zakharov System in Two Space Dimensions, with Yue Ma, preprint arXiv:2111.00244(2021).
6. Hidden structure and sharp asymptotics for the Dirac–Klein-Gordon system in two space dimensions, with Zoe Wyatt, preprint arXiv:2105.13780 (2021).
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).
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), to appear in Forum of Mathematics, Sigma.
