Linfeng Li's homepage

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Contact

Email: lli265@math.ucla.edu

Pronouns: He/him/his

About me

I am a Hedrick Assistant Adjunct Professor of Mathematics at the University of California, Los Angeles. I completed my Ph.D. in Applied Mathematics at the University of Southern California, under the supervision of Professors Juhi Jang and Igor Kukavica.

I am currently co-organizing UCLA Analysis and PDE seminar.

Research interests

I am broadly 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., 2023, 74(4): 164. [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, 25 (2024). [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, 2024, 37(3): 035019. [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, 53 (2024). [arXiv] [Journal]
  8. Upper bounds of nodal sets for Gevrey regular parabolic equations, (with I. Kukavica and G. Camliyurt), submitted. [arXiv]
  9. Observability from a measurable set for functions in a Gevrey class, (with I. Kukavica), submitted. [arXiv]

Conference talks