18 citations · 22 across the 7 of their papers we have counts for
7 papers
Boundary Effects on the Controllability of Coupled KdV Systems
F. A. Gallego, A. F. Pazoto, I. Rivas
We study the exact boundary controllability of a nonlinear coupled system of two Korteweg-de Vries equations on a bounded interval. The model describes the interactions of two weak…
Exact controllability of a linear Korteweg-de Vries equation by the flatness approach
Ivonne Rivas, Philippe Martin, Lionel Rosier +1
We consider a linear Korteweg-de Vries equation on a bounded domain with a left Dirichlet boundary control.The controllability to the trajectories of such a system was proved in th…
Internal controllability of non-localized solution for the Kodomtsev-Petviashvili II equation
Chenmin Sun, Ivonne Rivas
The internal control problem for the Kadomstev-Petviashvili II equation, known as KP-II, is the object of study in this paper. The controllability in from vertical strip i…
Local exponential stabilization for a class of Korteweg-de Vries equations by means of time-varying feedback laws
Jean-Michel Coron, Ivonne Rivas, Shengquan Xiang
We study the exponential stabilization problem for a nonlinear Korteweg-de Vries equa- tion on bounded interval in cases where the linearized control system is not controllable. Th…
Boundary Controllability of the Korteweg-de Vries Equation on a Bounded Domain
Eduardo Cerpa, Ivonne Rivas, Bing-Yu Zhang
This paper is devoted to study boundary controllability of the Korteweg-de Vries equation posed on a finite interval, in which, because of the third-order character of the equation…
Well-posedness of a Class of Non-homogeneous Boundary Value Problems of the Korteweg-de Vries Equation on a Finite Domain
Eugene Kramer, Ivonne Rivas, Bing-Yu Zhang
In this paper, we study a class of initial-boundary value problems for the Korteweg-de Vries equation posed on a bounded domain . We show that the initial-boundary value pro…
Global Well-posedness and Asymptotic Behavior of a Class of Initial-Boundary-Value Problem of the Korteweg-de Vries Equation on a Finite Domain
Ivonne Rivas, Muhammad Usman, Bing-Yu Zhang
In this paper, we study a class of initial boundary value problem (IBVP) of the Korteweg- de Vries equation posed on a finite interval with nonhomogeneous boundary conditions. The…