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:
Division of Science, New York University Abu Dhabi
Post-Doctoral Associate, 2023 - Present
Education:
Shanghai Center for Mathematical Sciences, Fudan University
Ph.D. Candidate, Applied Mathematics, 2018 - 2023
Advisor: Zhen Lei
School of Mathematical Sciences, Fudan University
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:
PDE seminar, Peking University (July 2023). Title: Energy Transfer and Radiation in Hamiltonian Klein-Gordon Equations.
PDE Seminar, Fudan University (December 2022). Title: Energy transfer and generalized Fermi's Golden Rule in Hamiltonian nonlinear Klein-Gordon equations.
Mathematical Perspectives Forum, Southwest Jiaotong University (December 2022). Title: Energy transfer and generalized Fermi's Golden Rule in Hamiltonian nonlinear Klein-Gordon equations.
Conference on Theory and Applications of PDEs, Central China Normal University, Wuhan (December 2022). Title: Energy transfer and generalized Fermi's Golden Rule in Hamiltonian nonlinear Klein-Gordon equations.
Online seminar on partial differential equations in applications, National Center for Applied Mathematics in Shanghai, Fudan University (August 2022). Title: Weak solutions of the three-dimensional hypoviscous elastodynamics with finite kinetic energy.
East Asian Core Doctoral Forum on Mathematics 2020, Kavli Institute for the Physics and Mathematics of the Universe, The University of Tokyo (January 2020). Title: On the Constantin-Lax-Majda Model with Convection.
Teaching:
Fall 2021, Teaching Assistant, Equations of Mathematical Physics
Spring 2020, Teaching Assistant, Mathematical Analysis II
Fall 2019, Teaching Assistant, Ordinary Differential Equation
Spring 2019, Teaching Assistant, Equations of Mathematical Physics
Fall 2018, Teaching Assistant, Abstract Algebra