Self-Introduction

I am currently a Postdoctoral Fellow in the Department of Applied Mathematics at The Hong Kong Polytechnic University (PolyU), working under the supervision of  Prof. Zhian Wang. My research focuses on Keller-Segel model with mixed boundary conditions—a problem at the interface of PDE analysis, asymptotic methods, and mathematical biology.

I completed my Ph.D. in Mathematics  at City University of Hong Kong in 2026, where my supervisor is  Prof. Hongyu Liu and my doctoral research centered on the theoretical and numerical analysis of inverse problems for partial differential equations. Prior to that, I obtained my Master's and Bachelor's  degree from Central South University.

Education

• 2022-2026         Ph.D. in Mathematics, City University of Hong Kong, Hong Kong

• 2019-2022        M.Sc. in Mathematics, Central South University, China

• 2015-2019        B.Sc. in Mathematics, Central South University, China

Publications

• Duan C, Liu H, Meng Q, et al. Determining nonlinear balance laws in product-type domains by a single local passive boundary observation[J]. arXiv preprint arXiv:2510.10571, 2025. 

• Duan C, Jiang Y, Liu H, et al. A Wave Front Tracking Scheme for Flux Reconstruction in $2\times 2$ Hyperbolic Conservation Laws[J]. arXiv preprint arXiv:2511.15261, 2025. 

• Duan C, Xue Z. Determining a magnetic Schr\" odinger equation by a single far-field measurement[J]. arXiv preprint arXiv:2510.08198, 2025. (Accepted for

publication in Inverse Problems and Imaging.)

• Deng Y, Duan C, Liu H. On vanishing near corners of conductive transmission eigenfunctions[J]. Research in the Mathematical Sciences, 2022, 9(1): 2.