# Yuan Gao

**Assistant Professor of Mathematics**

- Department of Mathematics, Purdue University
- Email：gao662@purdue.edu
- Find me on Google Scholar or ResearchGate.
- I mainly work on analysis/computations for PDEs from materials sciences, biology, and microfluids. I recently focus on optimal control and Hamilton-Jacobi equations with applications in transition path theory, mean-field limit, large deviation principle and non-equilibrium chemical reactions.

My research is supported by NSF Award DMS-2204288. - PSU-Purdue-UMD Joint Seminar on Mathematical Data Science

#### Appointments & Affiliations

- Assistant Professor of Mathematics, Department of Mathematics, Purdue University, 2021-Now
- William W. Elliott Assistant Research Professor, Mathematics, Trinity College of Arts & Sciences, Duke University, 2019-2021

#### Research Interests

**PDE analysis and multiscale modeling in materials sciences**- Crystal growth: high order degenerate parabolic equations, singularity characterization, hydrodynamic limit
- Dislocation: vectorial nonlocal Ginzburg-Landau systems, dynamic boundary condition, rigidity, metastability and slow motion

**Numerical analysis and simulations for interface dynamics**- Obstacle problem: contact line dynamics, lubrication approximation, phase field model, nonlocal model, surfactant dynamics, linear response relation

**Applied stochastic analysis and stochastic algorithm**- Reversible/irreversible Langevin dynamics: random walk on point clouds, transition path theory, optimal control, coarse-graining, ergodicity, large deviation, viscosity solution, Hamilton-Jacobi-Bellman equation, applications in image processing and sampling

#### Contact Me

- Email: gao662@purdue.edu
- Phone: 765-496-0056
- Office: Math 410，150 N. University Street, West Lafayette, IN
- My Profile in Math Department.