Research

Publications/Preprints

1. X. Chen, Existence of modified wave operators and infinite cascade result for a half wave Schrödinger equation on the plane, J. Funct. Anal. 286(2024), no.2, Paper No. 110222, 74 pp.  arXiv:2302.12067.

2. X. Chen, Global well-posedness of quadratic and subquadratic half wave Schrödinger equations, arXiv:2307.10612.

3. X. Chen, Explicit formula for the Benjamin–Ono equation with square integrable and real valued initial data and applications to the zero dispersion limit, arXiv:2402.12898. 

Research internship

1. Master 2 internship: Diffusion and transition for a weakly dispersive PDE

    2022.03-2022.09

    Institut de Mathématique d’Orsay, Université Paris-Saclay, Orsay, France 

    Supervisor: Patrick Gérard

2. Master 1 internship: Long-time qualitative study of solutions to dispersive equations

2021.03-2021.08

Centre de Mathématiques Laurent Schwartz, Ecole Polytechnique, Palaiseau, France 

Supervisor: Yvan Martel

3. Undergraduate research: Well-posedness and stability of solutions to Euler-Poisson equations

    2017.09-2018.08

    School of mathematical sciences, Peking University, Beijing, China

    Supervisor: Zhifei Zhang