24 citations · 159 across the 16 of their papers we have counts for
4 papers · 2 filters
On the well posedness and large-time behavior of higher order Boussinesq system
R. A. Capistrano-Filho, F. A. Gallego, A. F. Pazoto
A family of Boussinesq systems has been proposed to describe the bi-directional propagation of small amplitude long waves on the surface of shallow water. In this paper, we investi…
Control of a Boussinesq system of KdV-KdV type on a bounded interval
Roberto A. Capistrano-Filho, Ademir F. Pazoto, Lionel Rosier
We consider a Boussinesq system of KdV-KdV type introduced by J. Bona, M. Chen and J.-C. Saut as a model for the motion of small amplitude long waves on the surface of an ideal flu…
Asymptotic behavior of Boussinesq system of KdV-KdV type
Roberto A. Capistrano-Filho, Fernando A. Gallego
This work deals with the local rapid exponential stabilization for a Boussinesq system of KdV-KdV type introduced by J. Bona, M. Chen and J.-C. Saut. This is a model for the motion…
General Boundary Value Problems of the Korteweg-de Vries Equation on a Bounded Domain
R. A. Capistrano-Filho, Shu-Ming Sun, Bing-Yu Zhang
In this paper we consider the initial boundary value problem of the Korteweg-de Vries equation posed on a finite interval \begin{equation} u_t+u_x+u_{xxx}+uu_x=0,\qquad u(x,0)=ϕ(x)…