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Contact

Email: lilf3@sustech.edu.cn

Pronouns: He/him/his

About me

I am an Assistant Professor of Mathematics at the Southern University of Science and Technology (SUSTECH). I completed my Ph.D. in Applied Mathematics in May 2023 at the University of Southern California, under the supervision of Professors Juhi Jang and Igor Kukavica.

My name in Chinese is

Research interests

I am interested in analysis, PDEs, and fluid dynamics. Currently, I am interested in

Publications and preprints

  1. Mach limits in analytic spaces (with J. Jang and I. Kukavica), J. Differential Equations 299 (2021), 284-332. [arXiv] [Journal]
  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. [arXiv] [Journal]
  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. [arXiv] [Journal]
  4. 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. [arXiv] [Journal]
  5. Maximal regularity for the Neumann-Stokes problem in Hr/2, r spaces (with I. Kukavica and A. Tuffaha), C. R. Math. Acad. Sci. Soc. R. Can. 45 (2023), no.3, 56--63. [Journal]
  6. A regularity result for the free boundary compressible Euler equations of a liquid, Nonlinearity 37 (2024), no.3, Paper No. 035019, 48 pp. [arXiv] [Journal]
  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. [arXiv] [Journal]
  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. [arXiv] [Journal]
  9. Nodal set for the Schrodinger equation under a local growth condition (with I. Kukavica), Discret. Contin. Dyn. Syst.-S, 2026, 26: 448-471. [arXiv] [Journal]
  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). [arXiv] [Journal]
  11. Upper bounds of nodal sets for Gevrey regular parabolic equations (with G. Camliyurt and I. Kukavica), to appear in Proc. Amer. Math. Soc. [arXiv]
  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. [arXiv]
  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. [arXiv]
  14. Exponential decay of solutions to a fluid-plate model with small initial data (with M. Bukal, I. Kukavica, and B. Muha), submitted. [arXiv]