管毅,理学博士,硕士生导师,研究方向为微分方程及应用,理学院副教授,主要讲授数学分析、泛函分析、常微分方程等课程。
(一) 近5年(2017年1月)以来发表的论文
[1] Yi Guan, Boundedness of atmospheric Ekman flows with two-layer eddy viscosity, J. Math. Phys., 2023, https://doi.org/10.1063/5.0142172. (SCI)
[2] Y. Guan, J. Wang, Explicit solutions of atmospheric Ekman flow with some cases of eddy viscosities,Monatshefte für Mathematik, 2023, DOI:10.1007/s00605-023-01854-x. (SCI)
[3] Y. Guan, Jiuzhi Feng, An Exact Solution and Instability for Atmospheric Flow in the Modified
β-plane Approximation, Pure and Applied Geophysics, 2023,
https://doi.org/10.1007/s00024-023-03327-6. (SCI)
[4] M. Fečkan, Y. Guan, D. O'Regan, J. Wang, Existence and uniqueness and first order Approximation of solutions to Atmospheric Ekman Flows, Monatshefte für Mathematik, 193(2020), 623-636. (SCI)
[5] Y. Guan, M. Fečkan, J. Wang, Explicit solution of atmospheric Ekman flows with some types of Eddy viscosity, Monatshefte für Mathematik, 197(2022), 71-84. (SCI)
[6] Y. Guan, M. Feckan, J. Wang , The Ekman spiral for two types of eddy viscosities, Applicable Analysis, 2022, DOI: 10.1080/00036811.2022.2044026. (SCI)
[7] Y. Guan, J. Wang, M. Feckan, Explicit solution and dynamical properties of atmospheric Ekman flows with boundary conditions, Electronic Journal of Qualitative Theory of Differential Equations, 30(2021), 1-19. (SCI)
[8] J. Wang, M. Fečkan, Y. Guan, Local and global analysis for discontinuous atmospheric Ekman equations, Journal of Dynamics and Differential Equations, 35(2023), 663–677. (SCI)
[9] M. Fečkan, Y. Guan, J. Wang, Spatial wave solutions for generalized atmospheric Ekman equations. Electronic Journal of Qualitative Theory of Differential Equations, 63(2022), 1-22. (SCI)
[10] Y. Guan, M. Fečkan, J. Wang, Periodic solutions and Hyers-Ulam stability of Atmospheric Ekman Flows, Discrete and Continuous Dynamical Systems, Series A, 41(2021), 1157-1176. (SCI)
[11] J. Wang, M. Fečkan, Y. Guan, Constant vorticity atmospheric Ekman flows in the f-plane approximation, Discrete and Continuous Dynamical Systems, Series B, 27(2022), 6619-6630. (SCI)
[12] J. Wang, M. Fečkan, Y. Guan, Constant vorticity Ekman flows in the β-plane approximation, Journal of Mathematical Fluid Mechanics, 23 (2021), Art. 85. (SCI)
[13] Y. Guan, M. Fečkan, J. Wang, Constant vorticity atmospheric Ekman flows in the modified β-plane approximation, Dynamics of Partial Differential Equations, 19 (2022), 311-321. (SCI)
[14]. 管毅,赵远英,张文林, 一类带裂缝散射问题的边界积分方程方法[J].数学的实践与认识,2020, 50(5), 173-181.(北大核心)
[15].管毅, 杨媛, 赵远英, 一类Helmholtz方程解的存在性与唯一性, 四川师范大学学报(自然科学版). 2018,41(03), 351-356. (北大核心)
(二) 近5年(2017年1月以来)主持的科研项目
1. 复杂散射体声波正散射和逆散射问题的研究,贵州省科技厅联合基金项目,
2014.12-2017.12,主持,已结题。
2. Ekman边界层大气运动的数学理论研究,贵州省教育厅青年人才成长项目,2020.12-2023.11,主持。
3. 大气Ekman层的动力学特征研究,国家自然科学基金,2024.01-2027.12,主持。