My research includes theoretical and numerical analysis for partial differential equations (PDEs) with real-world applications. In particular, I mainly focus on the topics of stability and bifurcation since these two topics are of practical importance in applications. The following are some projects I did:

1. Tumor growth model with a time delay in cell proliferation [ Details ]

2. Atherosclerosis [ Details ]

3. Solving free boundary systems by using neural networks [ Details ]

4. A nonlinear cell-cell adhesion model [ Details ]