我的主要研究方向为偏微分方程与流体力学交叉领域，围绕零集估计与可观测性、流固耦合系统、流体稳定性分析、低马赫数极限等核心问题开展深入研究，相关成果发表在Proc. Lond. Math. Soc.、J. Math. Fluid Mech.、Nonlinearity等国际数学期刊。博士期间曾获国家优秀自费留学生奖学金、南加州大学应用数学中心研究生奖等荣誉。

我的学术论文可通过这里查阅：https://lli265.github.io

教学经历  南方科技大学

概率论与数理统计  2026秋季

教学经历 加州大学洛杉矶分校

微积分III   2026春季

数学分析  2026冬季

微积分III   2026冬季

微积分III   2025春季

数学分析（两个班）  2025冬季

微积分III   2024秋季

高等代数II  2024春季

微积分II    2024冬季

数学分析  2024冬季 

微积分II    2023秋季 

1. Exponential decay of solutions to a fluid-plate model with small initial data (with M. Bukal, I. Kukavica, and B. Muha), submitted.
2. Stability threshold of close-to-Couette shear flows with no-slip boundary conditions in 2D (with J. Bedrossian, S. He, S. Iyer, and F. Wang), submitted.
3. A no-contact result for a plate-fluid interaction system in dimension three (with M. Bukal, I. Kukavica, and B. Muha), to appear in SIAM J. Math. Anal.
4. Upper bounds of nodal sets for Gevrey regular parabolic equations (with G. Camliyurt and I. Kukavica), Proc. Amer. Math. Soc. (2026),
5. A global existence result on weak solutions for the 3D Navier-Stokes-plate system with no contact (with M. Bukal, I. Kukavica, and B. Muha), J. Nonlinear Sci. 36, 60 (2026).
6. Nodal set for the Schrodinger equation under a local growth condition (with I. Kukavica), Discret. Contin. Dyn. Syst.-S, 2026, 26: 448-471.
7. Observability from a measurable set for functions in a Gevrey class (with I. Kukavica), Proc. Lond. Math. Soc. (3) 130 (2025), no.5, Paper No. e70052, 13 pp.
8. On the local existence of solutions to the fluid-structure interaction problem with a free interface (with I. Kukavica and A. Tuffaha), Appl. Math. Optim. 90 (2024), no.3, Paper No. 53, 31 pp.
9. A regularity result for the free boundary compressible Euler equations of a liquid, Nonlinearity 37 (2024), no.3, Paper No. 035019, 48 pp.
10. On the local existence of solutions to the Navier-Stokes-wave system with a free interface (with I. Kukavica and A. Tuffaha), J. Math. Fluid Mech. 26 (2024), no.2, Paper No. 25, 37 pp.
11. Maximal regularity for the Neumann-Stokes problem in H^{r/2,r} spaces (with I. Kukavica and A. Tuffaha), C. R. Math. Acad. Sci. Soc. R. Can. 45 (2023), no.3, 56--63.
12. The incompressible limit of the isentropic fluids in the analytic spaces (with Y. Tan), Z. Angew. Math. Phys. 74 (2023), no.4, Paper No. 164, 15 pp.
13. Mach limits in analytic spaces on exterior domains (with J. Jang and I. Kukavica), Discrete Contin. Dyn. Syst. 42 (2022), no. 8, 3629-3659.
14. Mach limits in analytic spaces (with J. Jang and I. Kukavica), J. Differential Equations 299 (2021), 284-332.