教育经历：

2012年-2016年， 福州大学数学与计算机科学学院， 学士

2016年-2021年， 中国科学院数学与系统科学研究院，硕士&博士

工作经历：

2021-至今，厦门大学副教授

研究方向：

主要从事非线性泛函分析理论及其应用的研究，重点探索该理论在理想流体中的偏微分方程中的应用，尤其关注与涡动力学相关的若干问题。此外，也关注半线性和拟线性椭圆型偏微分方程解的性质，包括解的存在性、唯一性及对称性等。

科研项目：

（1）不可压缩欧拉方程解的刚性（2026.01-2029.12），国家自然科学基金面上项目,项目编号：12571126（主持）

（2）非线性薛定谔方程多波包爆破解和多孤立波解的研究（2024.01-2027.12），国家自然科学基金面上项目, 项目编号：12371122（参与）

（3）不可压缩欧拉方程涡解的研究（2023.01-2025.12），国家自然科学基金青年科学基金项目（C类）[原青年科学基金项目], 项目编号：12201525（主持）

论文：

[26] Zhan Weicheng: Symmetry of nonnegative weak solutions to a class of quasilinear elliptic equations, Preprint.

[25] Li Shuanglong; Pucci, Patrizia; Zhan Weicheng; Zou Changjun: Radial symmetry for overdetermined elliptic problems in domains with multiple cavities, Preprint.

[24] Cao Daomin; Wei Juncheng; Zhan Weicheng: Symmetry in Serrin-type overdetermined problems, Preprint.

[23] Fan Boquan; Wang Yuchen; Zhan Weicheng: Remarks on radial symmetry of stationary and uniformly-rotating solutions for the 2D Euler equation, Preprint.

[22] Fan Boquan; Wang Yuchen; Zhan Weicheng: Radial symmetry of stationary and uniformly-rotating solutions to the 2D Euler equation in a disc, arXiv:2412.05973.

[21] Cao Daomin; Fan Boquan; Zhan Weicheng: Free boundary problems for the two-dimensional Euler equations in exterior domains, arXiv:2406.16134.

[20] Wang Yuchen; Zhan Weicheng: On the rigidity of the 2D incompressible Euler equations, arXiv:2307.00197.

[19] Cao Daomin; Lai Shanfa; Qin Guolin; Zhan Weicheng; Zou Changjun: Uniqueness and stability of steady vortex rings for 3D incompressible Euler equation, arXiv:2206.10165.

[18] Cao Daomin; Qin Guolin; Yu Weilin; Zhan Weicheng; Zou Changjun: Existence, uniqueness and stability of steady vortex rings of small cross-section, arXiv:2201.08232.

[17] Cao Daomin; Zhan Weicheng: On the steady axisymmetric vortex rings for 3-D incompressible Euler flows, arXiv:2009.13210.

[16] Cao Daomin; Qin Guolin; Zhan Weicheng; Zou Changjun: Uniqueness and stability of traveling vortex pairs for the incompressible Euler equation, Ann. PDE, 2025, 11, no. 1, Paper No. 1, 55 pp.

[15] Cao Daomin; Qin Guolin; Zhan Weicheng; Zou Changjun: Kármán vortex street for the generalized surface quasi-geostrophic equation, Calc. Var. Partial Differential Equations, 2023, 62, no. 6, Paper No. 168, 35 pp.

[14] Cao Daomin; Qin Guolin; Zhan Weicheng; Zou Changjun: Remarks on orbital stability of steady vortex rings, Trans. Amer. Math. Soc., 2023, 376, no. 5: 3377-3395.

[13] Cao Daomin; Qin Guolin; Zhan Weicheng; Zou Changjun: Existence and stability of smooth traveling circular pairs for the generalized surface quasi-geostrophic equation, Int. Math. Res. Not. IMRN, 2023, no. 6: 4761-4804.

[12] Cao Daomin; Qin Guolin; Zhan Weicheng; Zou Changjun: Global solutions for the generalized SQG equation and rearrangements, Trans. Amer. Math. Soc., 2023, 376, no. 3: 2181-2211.

[11] Cao Daomin; Qin Guolin; Zhan Weicheng; Zou Changjun: Existence of traveling asymmetric vortex pairs in an ideal fluid, J. Differential Equations, 2023, 351: 131-155.

[10] Cao Daomin; Wan Jie; Wang Guodong; Zhan Weicheng: Asymptotic behaviour of global vortex rings, Nonlinearity, 2022, 35, no. 7: 3680-3705.

[9] Cao Daomin; Qin Guolin; Zhan Weicheng; Zou Changjun: On the global classical solutions for the generalized SQG equation, J. Funct. Anal., 2022, 283, no. 2, Paper No. 109503, 37 pp.

[8] Cao Daomin; Zhan Weicheng; Zou Changjun: On desingularization of steady vortex for the lake equations, IMA J. Appl. Math., 2022, 87, no. 1: 50-79.

[7] Cao Daomin; Qin Guolin; Zhan Weicheng; Zou Changjun: Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation, J. Differential Equations, 2021, 299: 429-462.

[6] Cao Daomin; Lai Shanfa; Zhan Weicheng: Traveling vortex pairs for 2D incompressible Euler equations, Calc. Var. Partial Differential Equations, 2021, 60, no. 5, Paper No.190, 16 pp.

[5] Cao Daomin; Wang Guodong; Zhan Weicheng: Steady vortex patches near a nontrivial irrotational flow, Sci. China Math., 2021, 64(5): 947-962.

[4] Cao Daomin; Wan Jie; Wang Guodong; Zhan Weicheng: Rotating vortex patches for the planar Euler equations in a disk, J. Differential Equations, 2021, 275: 509-532.

[3] Cao Daomin; Wan Jie; Zhan Weicheng: Desingularization of vortex rings in 3 dimensional Euler flows, J. Differential Equations, 2021, 270: 1258-1297.

[2] Jiang Fei; Jiang Song; Zhan Weicheng: Instability of the abstract Rayleigh-Taylor problem and applications, Math. Models Methods Appl. Sci., 2020, 30, no.12: 2299-2388.

[1] Cao Daomin; Wang Guodong; Zhan Weicheng: Desingularization of vortices for two-dimensional steady Euler flows via the vorticity method, SIAM J. Math. Anal., 2020, 52, no.6: 5363-5388.