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