10 citations · 21 across the 11 of their papers we have counts for
9 papers · 1 filter
Global bifurcation structure and geometric properties for steady periodic water waves with vorticity
Guowei Dai, Yong Zhang
This paper studies the classical water wave problem with vorticity described by the Euler equations with a free surface under the influence of gravity over a flat bottom. Based on…
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…
Uniqueness and asymptotic stability of time-periodic solution for the fractal Burgers equation
Yong Zhang
The paper is concerned with the time-periodic (T-periodic) problem of the fractal Burgers equation with a T-periodic force on the real line. Based on the Galerkin approximates and…
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…