Publications
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.
X. Chen, Explicit formula for the Benjamin–Ono equation with square integrable and real valued initial data and applications to the zero dispersion limit. Pure and Applied Analysis, Vol. 7 (2025), No. 1, 101–126. arXiv:2402.12898.
Preprints
X. Chen, Global well-posedness of quadratic and subquadratic half wave Schrödinger equations. arXiv:2307.10612.
Y. Alama Bronsard, X. Chen, M. Dolbeault, Spectrally accurate fully discrete schemes for some nonlocal and nonlinear integrable PDEs via explicit formulas. arXiv:2412.13480. To appear in Foundations of Computational Mathematics.
X. Chen, The defocusing Calogero–Moser derivative nonlinear Schrödinger equation with a nonvanishing condition at infinity. arXiv:2502.17968. To appear in SIAM Journal on Mathematical Analysis.
PhD thesis
X. Chen, On the dynamics of nonlinear dispersive equations with nonlocal terms : the role of integrability. HAL Id: tel-05140092
Research internship
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
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
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