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

1. Mach limits in analytic spaces (with J. Jang and I. Kukavica), J. Differential Equations 299 (2021), 284-332.
2. Mach limits in analytic spaces on exterior domains (with J. Jang and I. Kukavica), Discrete Contin. Dyn. Syst. 42 (2022), no. 8, 3629-3659.
3. 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.
4. 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. 
5. 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.
6. A regularity result for the free boundary compressible Euler equations of a liquid,  Nonlinearity 37 (2024), no.3, Paper No. 035019, 48 pp.
7. 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.
8. 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.  
9. Nodal set for the Schrodinger equation under a local growth condition (with I. Kukavica), Discret. Contin. Dyn. Syst.-S, 2026, 26: 448-471.
10. 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).
11. Upper bounds of nodal sets for Gevrey regular parabolic equations (with G. Camliyurt and I. Kukavica), Proc. Amer. Math. Soc. (2026), https://doi.org/10.1090/proc/17768.
12. 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.
13. 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.
14. Exponential decay of solutions to a fluid-plate model with small initial data (with M. Bukal, I. Kukavica, and B. Muha), submitted.