3 citations · 3 across the 7 of their papers we have counts for
11 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…