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教育经历: 2007—2011年毕业于Betway官方客服,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,Betway官方客服数学与信息科学学院,讲师; 2020.5—至今, Betway官方客服数学与信息科学学院,副教授。
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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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1.获得:2017年江苏省优秀博士论文;
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1.河南省自然科学基金-面上项目(222300420478)主持 2022-2023 2.Betway官方客服-面上培育基金(校20210365) 主持 2021-2023 3. 国家自然科学基金-青年基金(11701155) 主持 2018-2020 4. Betway官方客服-青年基金(校20180231) 主持 2017.3-2020.3 | |||||
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[1] Lili Fan,Shuge Shen, A cylindrical coordinates approach concerning azimuthal geophysical flows, Monatshefte Fur Mathematik, 2023, doi.org/10.1007/s00605-023-01876-5.
[2] 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.
[3] 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.
[4] Lili Fan,Ruonan Liu, An exact solution representing equatorial wind-drift currents with depth-dependent continuous stratification, Monatshefte Fur Mathematik, 2022, doi.org/10.1007/s00605-022-01759-1.
[5] Lili Fan,Hongjun Gao, Hangchen Li, On the Geophysical Green-Naghdi System, JOURNAL OF NONLINEAR SCIENCE, 2022,32:21.
[6] Lili Fan, Wei Yan, Junfang Wang,Hongjun Gao, The Cauchy problem for fractional Camassa–Holm equation in Besov space, NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, ,61:103348.
[7] Lili Fan, Shuge Shen, Yingying Chen, A cylindrical coordinates approach concerning the Antarctic Circumpolar Current, Monatshefte Fur Mathematik, 2021, 196: 269–279.
[8] Lili Fan,Hongjun Gao, On three-dimensional geophysical capillary–gravity water flows with constant vorticity, Annali di Matematica Pura ed Applicata, 2020, doi.org/10.1007/s10231-020-01010-4.
[9] 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.
[10] Lili Fan, Mean velocities in an irrotational equatorial wind wave, Applied Numerical Mathematics, 141(2019), 158-166.
[11] 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
[12] 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.
[13] 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
[14] Lili Fan, Hongjun Gao, Instability of equatorial edge waves in the background flow, Proceedings of the American Mathematical Society, 2017, 145(2), 765-778
[15] 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
[16] Lili Fan, Hongjun Gao, Steady periodic rotational gravity waves with negative surface tension, Japan Journal Of Industrial And Applied Mathematics, 2017, 34(2), 531-554
[17] 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
[18] 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
[19] 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.