Fan, Lili^#,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.

Fan Lili^#*, Yan Wei, The Cauchy problem for shallow water waves of large amplitude in Besov space, Journal of Differential Equations, 267(2019), 1705-1730.

Fan Lili^#*,Mean velocities in an irrotational equatorial wind wave, Applied Numerical Mathematics, 141(2019), 158-166.

Fan, Lili^#*, 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

Fan, Lili^#,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.

Robin Ming Chen^#,Fan, Lili^*, Gao, Hongjun, Liu, Yue, Breaking Waves And Solitary Waves To The Rotation-Two-Component Camassa-Holm System, SIAM Journal On Mathematical Analysis, 2017, 49(5), 3573-3602

Fan, Lili^#, Gao, Hongjun^*, Instability of equatorial edge waves in the background flow, Proceedings of the American Mathematical Society, 2017, 145(2), 765-778

Fan, Lili^#, Gao, Hongjun^*, 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

Fan, Lili^#, Gao, Hongjun^*, Steady periodic rotational gravity waves with negative surface tension, Japan Journal Of Industrial And Applied Mathematics, 2017, 34(2), 531-554

Fan, Lili^#, Gao, Hongjun, Liu, Yue^*, On the rotation-two-component Camassa-Holm system modelling the equatorial water waves, Advances in Mathematics, 2016, 291, 59-89

Fan, Lili^#, Gao, Hongjun^*, 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

Fan, Lili^#, Gao, Hongjun^*, 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