My Google Scholar Profile

Thesis

Stability and Bifurcation Analysis of Applied Free Boundary Problems. PhD thesis, University of Notre Dame, June 2021. [ thesis ]

Jounral Papers

1. G. Webb and X. E. Zhao, “An Epidemic Model with Infection Age and Vaccination Age Structure”, Infectious Disease Reports. [ DOI ]

2. G. Webb and X. E. Zhao, “Bifurcation analysis of critical values for wound closure outcomes in wound healing experiments“， Journal of Mathematical Biology. [ DOI ]

3. X. E. Zhao, L. Chen, W. Hao and Y. Zhao, “Bifurcation Analysis Reveals Solution Structures of Phase Field Models”, Communications on Applied Mathematics and Computation. [ DOI | arxiv ]

4. X. E. Zhao, W. Hao and B. Hu, “Two neural-network-based methods for solving elliptic obstacle problems”, Chaos, Solitons and Fractals, 2022. [ DOI | arxiv ]

5. X. E. Zhao and B. Hu, “On the first bifurcation point for a free boundary problem modeling a small arterial plaque”, Mathematical Methods in the Applied Sciences, 2022. [ DOI | arxiv ]

6. X. E. Zhao, W. Hao and B. Hu, “Convergence analysis of neural networks for solving a free boundary problem”, Computers & Mathematics with Applications, 2021. [ DOI | arxiv ]

7. X. E. Zhao and B. Hu, “Bifurcation for a free boundary problem modeling a small arterial plaque”, Journal of Differential Equations, 2021. [ DOI | arxiv ]

8. X. E. Zhao and B. Hu, “Symmetry-breaking bifurcation for a free-boundary tumor model with time delay”, Journal of Differential Equations, 2021. [ DOI ]

9. X. E. Zhao and B. Hu, “The impact of time delay in a tumor model”, Nonlinear Analysis: Real World Applications, 2020. [ DOI | arxiv ]

Posters

• X. E. Zhao and B. Hu, “A Free Boundary Tumor Growth Model with a Time Delay in Cell Proliferation”. [ poster ]

• X. E. Zhao, W. Hao and B. HU, “Solving a Free Boundary System by Using Neural Networks”. [ poster ]

• X. E. Zhao and G. Webb, “Bifurcation Analysis of Critical Values forWound Closure Outcomes in Wound Healing Experiments”. [ poster ]