Hongjie Dong
			Professor Division of Applied Mathematics Brown University Providence RI 02912 Hongjie_Dong at Brown dot edu
About me CV Publications Teaching PDE Seminar		Research Interests Partial Differential Equations: Nonlinear elliptic and parabolic PDEs, Navier-Stokes equations, quasi-geostrophic equations, reaction diffusion equations, unique continuation problems. Probability: Probabilistic approach of PDEs, stochastic processes, stochastic control theory. Numerical Analysis: Rates of convergence of finite difference approximations. Mathematical Foundation of AI: PDE-based models, High dimensional PDEs.