Yuan Gao
William W. Elliott Assistant Research Professor

Current Research Interests

My research interest is (I) PDE analysis and numerical simulations for problems in materials sciences and interface dynamics, and (II) applied stochastic analysis for the Langevin dynamics in data science and surface hopping. I mainly work on 4th order degenerated parabolic equations, coupled Ginzburg-Landau systems with dynamic boundary condition and multiscale models including phase transition and defects motion. I also work on numerical methods on contact line dynamics, Bayesian inference, manifold learning, hidden Markov model. The main tools involved are calculus of variation, convex analysis, maximal monotone operator, spectral analysis, gradient flows in metric spaces, optimal control theory, and applied stochastic calculus.

Office Hours

Physics 06, TuTh 10am-11am and 2pm-3pm. Or by appointment.

Current Appointments & Affiliations

Some information on this profile has been compiled automatically from Duke databases and external sources. (Our About page explains how this works.) If you see a problem with the information, please write to Scholars@Duke and let us know. We will reply promptly.