Publications
X. Chen, Existence of modified wave operators and infinite cascade result for a half wave Schrödinger equation on the plane. Journal of Functional Analysis 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.
X. Chen, Global well-posedness of quadratic and subquadratic half wave Schrödinger equations. Archive for Rational Mechanics and Analysis 249, 72 (2025). 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.
Preprint
X. Chen, Scattering of the defocusing Calogero–Moser derivative nonlinear Schrödinger equation. arXiv:2511.06432, hal-05339553.
PhD thesis
X. Chen, On the dynamics of nonlinear dispersive equations with nonlocal terms : the role of integrability. HAL Id: tel-05140092