8 papers
Control of Kawahara equation using flat outputs
Roberto de A. Capistrano-Filho, Jandeilson Santos da Silva
In this study we focused on the linear Kawahara equation in a bounded domain, employing two boundary controls. The controllability of this system has been previously demonstrated o…
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 pro…
Observability of the linear Zakharov--Kuznetsov equation
Roberto de A. Capistrano Filho, Vilmos Komornik, Ademir F. Pazoto
We study the linear Zakharov--Kuznetsov equation with periodic boundary conditions. Employing some tools from the nonharmonic Fourier series we obtain several internal observabilit…
Boundary controllability of the Korteweg-de Vries equation: The Neumann case
R. de A. Capistrano-Filho, J. S. da Silva
This article gives a necessary first step to understanding the critical set phenomenon for the Korteweg-de Vries (KdV) equation posed on interval considering the Neumann bo…
Coupled linear Schrödinger equations: Control and stabilization results
K. Bhandari, R. de A. Capistrano-Filho, S. Majumdar +1
This article presents some controllability and stabilization results for a system of two coupled linear Schrödinger equations in the one-dimensional case where the state components…
Stability of solitary waves for generalized -Boussinesq system: The Hamiltonian case
Roberto de A. Capistrano Filho, Jose Raul Quintero, Shu-Ming Sun
The -Boussinesq system is a model of two equations that can describe the propagation of small-amplitude long waves in both directions in the water of finite depth. Considerin…