4 papers
Hierarchical local null controllability for a non-degenerate quasi-linear parabolic system
Cristian Loli, George J. Bautista, Juan Limaco +3
In this manuscript, we are concerned with the hierarchical control of a non-degenerate quasi-linear parabolic system, posed on a bounded interval. We use the Stackelberg-Nash strat…
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…
On the controllability of laminated beams with Venttsel-type boundary conditions
George J. Bautista, Roberto de A. Capistrano-Filho, Juan Límaco
This paper examines the boundary controllability of a Timoshenko laminated beam system subject to Venttsel-type boundary conditions. The study focuses on a novel configuration in w…
Well-Posedness and Long-Time Dynamics of a Water-Waves Model with Time-Varying Boundary Delay
G. Bautista, R. de A. Capistrano--Filho, B. Chentouf +1
A higher-order nonlinear Boussinesq system with a time-dependent boundary delay is considered. Sufficient conditions are presented to ensure the well-posedness of the problem by ut…