11 papers
Solitary waves for a higher order Boussinesq system: Stability and numerical experiments
Roberto de A. Capistrano-Filho, Juan Carlos Muñoz, José R. Quintero
In this work, we study the nonlinear orbital stability of solitary-wave solutions for a class of higher-order Boussinesq systems with Hamiltonian structure. Using variational metho…
Another look at the control properties of the Korteweg-de Vries equation
Roberto de A. Capistrano-Filho, Fernando Gallego
This paper represents a new perspective in understanding the controllability of the Korteweg-de Vries (KdV) equation on unbounded domains. By studying the equation on both the righ…
Unique Continuation for Fifth-Order KP Equation and its application to control problems
Roberto de A. Capistrano-Filho, Ailton C. Nascimento
We develop a framework for the fifth-order Kadomtsev--Petviashvili equation on within a mean-zero KP-adapted Sobolev scale. A localized high-orde…
Studies on the Rao-Nakra Sandwich Beam: Well-Posedness, Dynamics, and Controllability
George J. Bautista, Roberto de A. Capistrano-Filho, Boumediene Chentouf +2
In this work, we investigate the well-posedness, stabilization, and boundary controllability of a linear Rao-Nakra type sandwich beam. The system consists of three coupled equation…
Control of the Schrödinger equation in : The critical case
Pablo Braz e Silva, Roberto de A. Capistrano-Filho, Jackellyny Dassy do Nascimento Carvalho +1
This article deals with the --level local null controllability for the energy-critical nonlinear Schrödinger equation in . Firstly, we demonstrate that the pr…
Critical lengths for the linear Kadomtsev-Petviashvili II equation
Roberto de A. Capistrano-Filho, Fernando Gallego, Ricardo Muñoz +1
The critical length phenomenon of the Korteweg-de Vries equation is well known; however, in higher dimensions, it is unknown. This work explores this property in the context of the…