25. X. An, T. He, D. Shen, Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime, arXiv:2507.18585, 53 pages.
24. X. An, T. He, On Kerr black hole formation with complete apparent horizon and a new approach toward Penrose inequality, arXiv:2505.11399, 111 pages.
23. X. An, H. Chen, S. Yu, Low-Regularity Local Well-Posedness for the Elastic Wave System, arXiv:2411.15886, 110 pages, to appear in Ann. PDE.
22. X. An, T. He, D. Shen, Angular Momentum Memory Effect, arXiv:2403.11133.
21. X. An, H. K. Tan, A Proof of Weak Cosmic Censorship Conjecture for the Spherically Symmetric Einstein-Maxwell-Charged Scalar Field System, arXiv: 2402.16250, 148 pages.
20. X. An, Naked singularity censoring with anisotropic apparent horizon, Ann. of Math (2) 201(3), (2025), 775-908.
19. X. An, T. He, Dynamics of Apparent Horizon and a Null Comparison Principle, Ann. PDE 10, 15 (2024), 61 pages.
18. X. An, T. He, T. Li, Nonlinear asymptotic stability and transition threshold for 2D Taylor-Couette flows in Sobolev spaces, Commun. Math. Phys. 405, 146 (2024), 57 pages.
17. X. An, H. Chen, T. He, Quantitative blow-up estimates for spacelike singularities in gravitational-collapse cosmological spacetimes, Calc. Var. Partial Differ. Equ. 64 (3), 75 (2025), 49 pages
16. X. An, H. Chen, S. Yin, The Cauchy problems for the 2D compressible Euler equations and ideal MHD system are ill-posed in $H^{\frac{7}{4}}(R^2)$, arXiv:2206.14003, 35 pages.
15. X. An, T. He, T. Li, Enhanced dissipation and nonlinear asymptotic stability of the Taylor-Couette flow for the 2D Navier-Stokes equations, arXiv:2112.15357, 59 pages.
14. X. An, H. Chen, S. Yin, Low regularity ill-posedness and shock formation for 3D ideal compressible MHD, arXiv:2110.10647, 65 pages.
13. X. An, Q. Han, Anisotropic dynamical horizons arising in gravitational collapse, arXiv: 2010.12524, preprint 51 pages.
12. X. An, N. Athanasiou, A scale-critical trapped surface formation criterion for the Einstein-Maxwell system, J. Math. Pures Appl. (9) 167 (2022), 294–409.
11. X. An, D. Gajic, Curvature blow-up rates in spherically symmetric gravitational collapse to a Schwarzschild black hole, Arch. Ration. Mech. Anal. 247 (3), no.51: 60 pp (2023).
10. X. An, H. Chen, S. Yin, Low regularity ill-posedness for elastic waves driven by shock formation, Amer. J, Math. 145 (2023), no.4, 63 pp.
9. X. An, Z. Lim, Trapped surface formation for spherically symmetric Einstein-Maxwell-scalar field system with double null foliation, Ann. Henri Poincar\'e 23 (2022), no. 9, 3159–3190.
8. X. An, A scale-critical trapped surface formation criterion: a new proof via signature for decay rates, Ann. PDE 8, 3 (2022), 89 pages.
7. X. An, Emergence of apparent horizon in gravitational collapse, Ann. PDE 6, 10 (2020), 89 pages.
6. X. An, R. Zhang, Polynomial blow-up upper bounds for Einstein-scalar field system under spherical symmetry, Commun. Math. Phys. 376, 1671–1704 (2020).
5. X. An and A. Soffer, Fermi's golden rule and $H^1$ scattering for nonlinear Klein-Gordon equations with metastable states, Discrete and Continuous Dynamical Systems- Series A, 40(1): 331-373 (2020).
4. X. An, X. Zhang, Examples of naked singularity formation in higher-dimensional Einstein-vacuum spacetimes, Ann. Henri Poincar\'e 19, 619-651 (2018).
3. X. An, W. Wong, Warped product space-times, Class. Quantum Grav. Volume 35, Number 2, 31 pages (2017).
2. X. An, J. Luk, Trapped surfaces in vacuum arising dynamically from mild incoming radiation, Adv. Theor. Math. Phys. Volume 21, Number 1, 1-120 (2017).
X. An, Formation of trapped surfaces from past null infinity, arXiv:1207.5271, preprint, 125 pages.
3. X. An, H. Chen. S. Yin, $H^{\frac{11}{4}}(R^2)$ ill-posedness for 2D Elastic wave system, 25-page invited article in honor of Demetrios Christodoulou, arXiv:2206.14012, to appear in Pure and Applied Mathematics Quarterly.
2. X. An, H. Chen, S. Yin, Low regularity ill-posedness for non-strictly hyperbolic systems in three dimensions, J. Math. Phys. 63 (2022), no. 5, Paper No. 051503, 16 pp.
1. X. An, Short-Pulse Method and Trapped Surface Formation, Internat. J. Modern Phys. A 37 (2022), no. 14, Paper No. 2230008, 15 pp.