43 citations · 61 across the 13 of their papers we have counts for
4 papers · 1 filter
Rigidity of three-dimensional internal waves with constant vorticity
Robin Ming Chen, Lili Fan, Samuel Walsh +1
This paper studies the structural implications of constant vorticity for steady three-dimensional internal water waves. It is known that in many physical regimes, water waves benea…
Equatorial wind-drift currents with a continuous stratification and centripetal effects in the -plane setting
Lili Fan, Ruonan Liu
In this paper, we aim to derive an exact solution to the three-dimensional governing equations for wind-induced equatorial flows in the -plane approximation with a depth-depende…
Hamiltonian model for coupled surface and internal waves over currents and uneven bottom
Lili Fan, Ruonan Liu, Hongjun Gao
A Hamiltonian model for the propagation of internal water waves interacting with surface waves, a current and an uneven bottom is examined. Using the so-called Dirichlet-Neumann op…
A cylindrical coordinates approach concerning internal waves for the Antarctic Circumpolar Current
Lili Fan, Shuge Shen
In this paper, we devise a new exact and partially explicit solution to the governing equations of geophysical fluid dynamics for an inviscid and incompressible azimuth flow with a…