Ruimeng Hu, Qirui Peng, and Xu Yang. Well-Posedness of the Relaxed Electron MHD Equations with Random Diffusion. Accepted in Commun. Math. Sci.
Mimi Dai, Qirui Peng, and Cheng Ouyang. Uniqueness for a Stochastic Ideal Dyadic MHD Model. Accepted in Contemporary Mathematics (AMS).
Alexey Cheskidov and Qirui Peng. An optimal upper bound on the determining wavenumber for 3D Navier-Stokes Equations. Nonlinear Differential Equations and Applications NoDEA 33, Article 92.
Qirui Peng. Three dimensional stationary solutions of the Electron MHD equations. Nonlinear Analysis 262, Article 113935.
Mimi Dai, Margaret Hoeller, Qirui Peng, and Xiangxiong Zhang. Kolmogorov’s dissipation number and determining wavenumber for dyadic models. Nonlinearity 37(2), 025015.
Qirui Peng. Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schrödinger equation. arXiv:2608.07866 (2026).
Ruimeng Hu, Qirui Peng, and Xu Yang. Current-Sheet Formation in Electron Magnetohydrodynamics with Split Fractional Dissipation. arXiv:2607.18648 (2026).
Ruimeng Hu, Quyuan Lin, and Qirui Peng. Onsager-Type Energy Equality and Prodi–Serrin Uniqueness for Nernst–Planck Fluid Systems. arXiv:2607.00225 (2026).
Hailong Guo, Ruimeng Hu, Qirui Peng, and Xu Yang. A Gradient Recovery Method for Electron Magnetohydrodynamics with Fractional Dissipation. arXiv:2606.19716 (2026).
Qirui Peng. Local Well-Posedness for the Two-and-a-Half-Dimensional EMHD System with Split Fractional Dissipation. arXiv:2605.20845 (2026).
Ruimeng Hu, Qirui Peng, and Xu Yang. The Three-Dimensional Stochastic EMHD System: Local Well-Posedness and Maximal Pathwise Solutions. arXiv:2604.07497 (2026).
Alexey Cheskidov and Qirui Peng. Anomalous Dissipation at Onsager-Critical Regularity. arXiv:2512.24568 (2025).
Mimi Dai and Qirui Peng. Non-Unique Weak Solutions of Forced SQG. arXiv:2310.13537 (2023).
Mimi Dai and Qirui Peng. Non-Unique Stationary Solutions of Forced SQG. arXiv:2302.03283 (2023).