43 citations · 61 across the 13 of their papers we have counts for
13 papers
Modulational stability of the periodic traveling wave in a local model for shallow water waves
Lili Fan, Xin Zhang, Hongjun Gao
In this paper, we investigate the modulational stability of periodic traveling waves in a local model for shallow water waves, which is an extended version of the Hunter-Saxton equ…
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…
The Cauchy problem for fractional Camassa-Holm equation in Besov space
Lili Fan, Hongjun Gao, Junfang Wang +1
In this paper, we consider the fractional Camassa-Holm equation modelling the propagation of small-but-finite amplitude long unidirectional waves in a nonlocally and nonlinearly el…
Asymptotic stability for the inflow problem of the heat-conductive ideal gas without viscosity
Meichen Hou, Lili Fan
This paper is devoted to studying the inflow problem for an ideal polytropic model with non-viscous gas in one-dimensional half space. We showed the existence of the boundary layer…
Asymptotic stability of viscous contact wave and rarefaction waves for the system of heat-conductive ideal gas without viscosity
Lili Fan, Guiqiong Gong, Shaojun Tang
This paper is concerned with the Cauchy problem of heat-conductive ideal gas without viscosity. We show that, for the non-viscous case, if the strengths of the wave patterns and th…
An exact solution for geophysical trapped waves in the presence of an underlying current
Lili Fan, Hongjun Gao, Qingkun Xiao
In this paper we propose an exact and explicit nonlinear solution to the governing equations which retains all the Coriolis terms. In the presence of an underlying current, we seek…
Extrema of the dynamic pressure in an irrotational regular wave train with underlying currents and infinite depth
Lili Fan, Hongjun Gao, Lei Mao
In this paper, we investigate the maximum and minimum of the dynamic pressure in a regular wave train with underlying currents and infinite depth respectively. The result is obtain…
Viscous Shock Wave to an Inflow Problem for Compressible Viscous Gas with Large Density Oscillations
Dongfen Bian, Lili Fan, Lin He +1
This paper is concerned with the inflow problem for the one-dimensional compressible Navier-Stokes equations. For such a problem, F. M. Huang, A. Matsumura and X. D. Shi showed tha…
Inflow Problem for the One-dimensional Compressible Navier-Stokes Equations under Large Initial Perturbation
Lili Fan, Hongxia Liu, Tao Wang +1
This paper is concerned with the inflow problem for the one-dimensional compressible Navier-Stokes equations. For such a problem, Matsumura and Nishihara showed in [A. Matsumura an…
Asymptotic stability of a composite wave of two viscous shock waves for a one-dimensional system of non-viscous and heat-conductive ideal gas
Lili Fan, Akitaka Matsumura
This paper is concerned with the asymptotic stability of a composite wave consisting of two viscous shock waves to the Cauchy problem for a one-dimensional system of heat-conductiv…