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教育经历： 2007—2011年毕业于河南师范大学，获得理学学士学位； 2011—2016年硕博连读于南京师范大学，获得理学博士学位。 工作经历： 2016.6—2020.4， 河南师范大学数学与信息科学学院，讲师； 2020.5—2025.12，河南师范大学数学与信息科学学院，副教授。 2026.01—至今， 河南师范大学数学与统计学院，教授。 | |||||
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非线性偏微分方程，流体动力学应用及分析，非线性水波等 | |||||
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主讲本科生课程：《高等数学》、《常微分方程》 | |||||
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2017年：江苏省优秀博士论文 2023年：河南师范大学优秀实习指导教师
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1.河南省自然科学基金-优秀青年科学基金 主持 2025-2027 2.国家自然科学基金-天元基金 主持 2025.01-2025.12 3.河南省自然科学基金-面上项目 主持 2022-2023 4.河南师范大学-面上培育基金 主持 2021-2023 5.国家自然科学基金-青年基金 主持 2018-2020 6.河南师范大学-青年基金 主持 2017.3-2020.3 | |||||
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1.Lili Fan, Xingchang Wang, Runzhang Xu, Modulational instability in the b-family equation, Phys. D, 481 (2025), Paper No. 134817, 15 pp.
2.Lili Fan, Ruonan Liu, Heyang Li, Exact solutions for nonlinear trapped lee waves in the β-plane approximation, J. Math. Anal. Appl., 547 (2025), no. 2, Paper No. 129337, 9 pp.
3.Lili Fan, Heyang Li, Xin Zhang, Steady azimuthal stratified flows over a sloping beach, Discrete Contin. Dyn. Syst. Ser. S, DOI: 10.3934/dcdss.2025121.
4.Lili Fan, Xin Zhang, Heyang Li, Stability of some recent exact solutions to the three-dimensional geophysical Euler equations, Appl. Anal., DOI: 10.1080/00036811.2025.2574700.
5.Lili Fan, Heyang Li, Steady azimuthal equatorial flows in cylindrical coordinates with stratification, Monatsh. Math., 207 (2025), no. 3, 405–415.
6.Robin Ming Chen, Lili Fan, Xingchang Wang, Runzhang Xu, Spectral analysis of the periodic b-KP equation under transverse perturbations, Math. Ann. 390 (2024), no. 4, 6315-6354.
7.Lili Fan, Ruonan Liu, Qingkun Xiao, Rigidity of three-dimensional steady internal waves with constant vorticity governed by the f-plane approximation, Nonlinear Anal. Real World Appl., 2024, Paper No. 104052, 8 pp.
8.Lili Fan, Shuge Shen, A cylindrical coordinates approach concerning azimuthal geophysical flows, Monatshefte Fur Mathematik, 2023, 201(4), 1093-1103.
9.Robin Ming Chen, Lili Fan, Samuel Walsh, Miles H. Wheeler, Rigidity of Three-Dimensional Internal Waves with Constant Vorticity, J. Math. Fluid Mech., 2023, 25:71.
10.Lili Fan, Ruonan Liu, Hongjun Gao, Hamiltonian model for coupled surface and internal waves over currents and uneven bottom, Physica D-Nonlinear Phenomena, 2023, 443.
11.Lili Fan, Ruonan Liu, An exact solution representing equatorial wind-drift currents with depth-dependent continuous stratification, Monatshefte Fur Mathematik, 2023, 201(4), 1093-1103.
12.Lili Fan, Hongjun Gao, Hangchen Li, On the Geophysical Green-Naghdi System, J. Nonlinear Sci., 2022, 32:21.
13.Lili Fan, Wei Yan, Junfang Wang, Hongjun Gao, The Cauchy problem for fractional Camassa-Holm equation in Besov space, Nonlinear Anal. Real World Appl., 2021, 61:103348.
14. Lili Fan, Shuge Shen, Yingying Chen, A cylindrical coordinates approach concerning the Antarctic Circumpolar Current, Monatshefte Fur Mathematik, 2021, 196: 269–279.
15.Lili Fan, Hongjun Gao, On three-dimensional geophysical capillary–gravity water flows with constant vorticity, Annali di Matematica Pura ed Applicata, 2020, 200(2), 711-720.
16.Lili Fan, Yan Wei, The Cauchy problem for shallow water waves of large amplitude in Besov space, Journal of Differential Equations, 267(2019), 1705-1730.
17.Lili Fan, Wei Yan, On the weak solutions and persistence properties for the variable depth KDV general equations, Nonlinear Analysis: Real World Applications, 2018,44, 223-245.
18.Lili Fan, Hongjun Gao, Qingkun Xiao, An exact solution for geophysical trapped waves in the presence of an underlying current, Dynamics of Partial Differential Equations, 2018, 15(3), 201-214.
19.Robin Ming Chen, Lili Fan, Hongjun Gao, Yue Liu, Breaking Waves And Solitary Waves To The Rotation-Two-Component Camassa-Holm System, SIAM Journal On Mathematical Analysis, 2017, 49(5), 3573-3602.
20.Lili Fan, Hongjun Gao, Instability of equatorial edge waves in the background flow, Proceedings of the American Mathematical Society, 2017, 145(2), 765-778.
21.Lili Fan, Hongjun Gao, Lei Mao, Extrema of the dynamic pressure in an irrotational Stokes wave with underlying currents and infinite depth, Nonlinear Analysis-Theory Methods & Applications, 2017, 162, 13-21.
22.Lili Fan, Hongjun Gao, Steady periodic rotational gravity waves with negative surface tension, Jpn. J. Ind. Appl. Math., 2017, 34(2), 531-554.
23.Lili Fan, Hongjun Gao, Liu, Yue*, On the rotation-two-component Camassa-Holm system modelling the equatorial water waves, Advances in Mathematics, 2016, 291, 59-89.
24.Lili Fan, Hongjun Gao, Local well-posedness and persistence properties for the variable depth kdv general equations in besov space, Differential and Integral Equations, 2016, 29(3-4), 241-268.
25.Lili Fan, Hongjun Gao, Local well-posedness and blow-up of solutions for wave equations on shallow water with periodic depth, Electronic Journal of Differential Equations, 2015, 2015(07), 1-17.
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