Welcome!

I am currently a Post-Doctoral Associate at New York University Abu Dhabi.

Previously, I got my Ph.D. in June 2023 from Fudan University. My Ph.D. advisor is Professor Zhen Lei.

Email: jl15817@nyu.edu


Research Interests:

Fluid dynamics and nonlinear dispersive wave equations.


Employment:

Post-Doctoral Associate, 2023 - Present

Education:

Ph.D. Candidate, Applied Mathematics, 2018 - 2023

Advisor: Zhen Lei


B.S. in Mathematics, 2014 - 2018




Papers:

5) Energy transfer and radiation in Hamiltonian nonlinear Klein-Gordon equations: general case, with Z. Lei and Z. Yang, Preprint arxiv: 2307.16191. (Submitted)

4) Energy transfer, weak resonance, and Fermi's golden rule in Hamiltonian nonlinear Klein-Gordon equations, with Z. Lei and Z. Yang, Preprint arxiv: 2201.06490. (Submitted)

3) Weak solutions of the three-dimensional hypoviscous elastodynamics with finite kinetic energy (with K. Chen), J. Differential Equations 339 (2022), 637-665.

2) Scattering for the quasilinear wave equations with null conditions in two dimensions (with D. He and K. Wang), J. Differential Equations 269 (2020), no. 4, 3067-3088.

1) On the Constantin-Lax-Majda model with convection (with Z. Lei and X. Ren), Comm. Math. Phys. 375 (2020), no. 1, 765-783.


Talks:


Teaching: