About
🏛️ My name is Zhilong Xue (薛志龙). Now I am a post-doc researcher mentored by Quoc-Hung Nguyen. I obtained my PhD at Beijing Normal University under the supervison of Liutang Xue (薛留堂).
🌐 Academy of Mathematics and Systems Science, Chinese Academy of Science,
📧 zhilongxue@mail.bnu.edu.cn; zhilongxue@amss.ac.cn
📍 Beijing, China
Research Interests
- Mathematical analysis
- Partial differential equations
- Fluid mechanics
Publications and Preprints
- Changhui Tan, Liutang Xue, and Zhilong Xue. A revisit of patch solutions for the 2D Loglog-Euler type equation. arXiv:2510.18759.
- Taoufik Hmidi, Liutang Xue, and Zhilong Xue. Doubly connected V-states in geophysical models: a general framework. arXiv:2504.08143.
- Qianyun Miao, Changhui Tan, Liutang Xue, and Zhilong Xue. Local regularity and finite-time singularity for a class of generalized SQG patches on the half-plane. arXiv:2410.19273.
- Taoufik Hmidi, Liutang Xue, and Zhilong Xue. Unified theory on V-states structures for active scalar equations. arXiv:2312.02874.
- Taoufik Hmidi, Liutang Xue, and Zhilong Xue. Emergence of time periodic solutions for the generalized surface quasi-geostrophic equation in the disc. Journal of Functional Analysis 285 (2023), no. 10, Paper No. 110142.
Invited Talks
- 2024.10 - PhD seminar, Seville
- 2024.03 - Ecuaciones Diferenciales seminar, Granada
- 2023.11 - Fluid Conversations seminar, Seville