10 citations · 27 across the 17 of their papers we have counts for
17 papers
The symmetry for two class of steady stratified periodic water waves
Fengquan Li, Fei Xu, Yong Zhang
In this paper, we mainly consider two class of travelling stratified periodic water waves, one with negative (or without) surface tension and the other with constant Bernoulli's fu…
The singularities for a periodic transport equation
Yong Zhang, Fei Xu, Fengquan Li
In this paper, we consider a 1D periodic transport equation with nonlocal flux and fractional dissipation where $κ\g…
Uniqueness and stability of steady-state solution with finite energy to the fractal Burgers equation
Fei Xu, Yong Zhang, Fengquan Li
The paper is concerned with the steady-state Burgers equation of fractional dissipation on the real line. We first prove the global existence of viscosity weak solutions to the fra…
Continuity properties of the data-to-solution map and ill-posedness for a two-component Fornberg-Whitham system
Xu Fei, Zhang Yong, Fengquan Li
This work studies a two-component Fornberg-Whitham (FW) system, which can be considered as a model for the propagation of shallow water waves. It's known that its solutions depend…
The existence and decay of solitary waves for the Fornberg-Whitham equation
Yong Zhang, Fei Xu, Fengquan Li
In this paper, we consider the Fornberg-Whitham equation and a family of solitary wave solutions is found by using minimization principle, where a related penalization function and…
The well-posedness, blow-up and travelling waves for a two-component Fornberg-Whitham system
Fei Xu, Yong Zhang, Fengquan Li
In this paper, the two-component Fornberg-Whitham system is studied. We firstly investigate the well-posedness in classical Sobolev Space and show a blow-up scenario by local-in-ti…
On symmetry and recovery of steady continuous stratified periodic water waves
Fei Xu, Yong Zhang, Fengquan Li
This paper considers two-dimensional steady continuous stratified periodic water waves. Firstly, we prove that each streamline must be symmetric about the crest line when it is str…
On properties of vertical velocity for 2-D steady water waves
Yong Zhang, Fengquan Li, Fei Xu
In this article, we mainly investigate the properties of vertical velocity v for two dimensional steady water waves over a flat bed. Firstly we prove the existence of the inflectio…
A two-species competition model with mixed dispersal and free boundaries in time-periodic environment
Qiaoling Chen, Fengquan Li, Sanyi Tang +1
This paper is concerned with a Lotka-Volterra type competition model with free boundaries in time-periodic environment. One species is assumed to adopt nonlocal dispersal and the o…
Continuity properties of the data-to-solution map for the two-component higher order Camassa-Holm system
Feng Wang, Fengquan Li
This work studies the Cauchy problem of a two-component higher order Camassa-Holm system, which is well-posed in Sobolev spaces , $s>\f…
On the Cauchy problem for a higher-order -Camassa-Holm equation
Feng Wang, Fengquan Li, Zhijun Qiao
In this paper, we study the Cauchy problem of a higher-order -Camassa-Holm equation. We first establish the Green's function of and…
Well-posedness and peakons for a higher-order -Camassa-Holm equation
Feng Wang, Fengquan Li, Zhijun Qiao
In this paper, we study the Cauchy problem of a higher-order -Camassa-Holm equation. By employing the Green's function of , we obtain the explicit for…
A Pohozaev Identity for the Fractional Hnon System
Pei Ma, Fengquan Li, Yan Li
In this paper, we study the Pohozaev identity associated with a Hnon-Lane-Emden system involving the fractional Laplacian: \begin{equation} \left\{\begin{array}{ll} (-\t…
A reaction-diffusion-advection competition model with two free boundaries in heterogeneous time-periodic environment
Qiaoling Chen, Fengquan Li, Feng Wang
In this paper, we study the dynamics of a two-species competition model with two different free boundaries in heterogeneous time-periodic environment, where the two species adopt a…
The diffusive competition problem with a free boundary in heterogeneous time-periodic environment
Qiaoling Chen, Fengquan Li, Feng Wang
In this paper, we consider the diffusive competition problem with a free boundary and sign-changing intrinsic growth rate in heterogeneous time-periodic environment, consisting of…
A diffusive logistic problem with a free boundary in time-periodic environment: favorable habitat or unfavorable habitat
Qiaoling Chen, Fengquan Li, Feng Wang
We study the diffusive logistic equation with a free boundary in timeperiodic environment. To understand the effect of the dispersal rate , the original habitat radius , th…
The diffusive competition problem with a free boundary in strong heterogeneous environment and weak heterogeneous environment
Qiaoling Chen, Fengquan Li, Feng Wang
In this paper, we consider the diffusive competition problem consisting of an invasive species with density and a native species with density . We assume that undergoes…