1 citations · 2 across the 5 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…