6 citations · 9 across the 6 of their papers we have counts for
6 papers
Non-homogeneous boundary value problems for coupled KdV-KdV systems posed on the half line
Shenghao Li, Min Chen, Xin Yang +1
In this article, we study an initial-boundary-value problem of a coupled KdV-KdV system on the half line with non-homogeneous boundary conditions: \begin{equation*…
Lower Regularity Solutions of the Non-homogeneous Boundary-Value Problem for a Higher Order Boussinesq Equation in a Quarter Plane
Shenghao Li, Min Chen, Xin Yang +1
We continue to study the initial-boundary-value problem of the sixth order Boussinesq equation in a quarter plane with non-homogeneous boundary conditions: \begin{equation*} \begin…
Hexagonal standing wave patterns of a two-dimensional Boussinesq system
Shenghao Li, Min Chen, Bing-Yu Zhang
We prove the existence of a large family of two-dimensional standing waves, that are triple periodic solutions, for a Boussinesq system which describes two-way propagation of water…
Exact controllability and stability of the Sixth Order Boussinesq equation
Shenghao Li, Min Chen, Bing-Yu Zhang
The article studies the exact controllability and the stability of the sixth order Boussinesq equation \[ u_{tt}-u_{xx}+βu_{xxxx}-u_{xxxxxx}+(u^2)_{xx}=f, \quad β=\pm1, \] on the i…
Lower regularity solutions of non-homogeneous boundary value problems of the sixth order Boussinesq equation in a quarter plane
Shenghao Li, Min Chen, Bingyu Zhang
In this article, we study an initial-boundary-value problem of the sixth order Boussinesq equation on a half line with nonhomogeneous boundary conditions: \[ u_{tt}-u_{xx}+βu_{xxxx…
Long-Time Asymptotic Behavior of Dissipative Boussinesq System
Min Chen, Olivier Goubet
In this paper, we study various dissipative mechanics associated with the Boussinesq systems which model two-dimensional small amplitude long wavelength water waves. We will show t…