Higher-Order Error estimates for physics-informed neural networks approximating the primitive equations. - Ruimeng Hu; Quyuan Lin; Alan Raydan; Sui Tang (CoRR, 2022)

Accuracy Analysis of Physics-Informed Neural Networks for Approximating the Critical SQG Equation. - Elie Abdo; Ruimeng Hu; Quyuan Lin (CoRR, 2024)

Global Existence for the Stochastic Boussinesq Equations with Transport Noise and Small Rough Data. - Quyuan Lin; Rongchang Liu; Weinan Wang (SIAM J. Math. Anal., 2024)

Regularization by Noise for the Inviscid Primitive Equations. - Ruimeng Hu; Quyuan Lin; Rongchang Liu (J. Nonlinear Sci., 2025)