研究方向：随机偏微分方程

论文：

[1]Kai Du and Ruoyang Liu*, Well-posedness of the obstacle problem for stochastic nonlinear diffusion equations: an entropy formulation. Journal of Functional Analysis, 2025: 111012. 

[2]Kai Du, Ruoyang Liu* and Yuxing Wang, Entropy solutions to the Dirichlet problem for nonlinear diffusion equations with conservative noise. SIAM Journal on Mathematical Analysis, 2024, 56(1):637-675. 

[3]Ruoyang Liu and Shanjian Tang. Obstacle problem for stochastic porous media equations. Stochastic Processes and their Applications, 2024, 167:104238. 

[4]Ruoyang Liu and Kai Du. Holder continuity of solutions to the Dirichlet problem for SPDEs with spatially correlated noise. Electronic Communications in Probability, 2021, 26: 1-13.