16 citations · 31 across the 11 of their papers we have counts for
13 papers
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…
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…
Boundary stabilization of the Korteweg-de Vries-Burgers equation with an infinite memory-type control and applications: a qualitative and numerical analysis
Boumediène Chentouf, Aissa Guesmia, Mauricio A Sepulveda Cortes +1
This article is intended to present a qualitative and numerical analysis of well-posedness and boundary stabilization problems of the well-known Korteweg-de Vries-Burgers equation.…
Asymptotic behavior of Kawahara equation with memory effect
Roberto de A. Capistrano Filho, Boumediène Chentouf, Isadora Maria de Jesus
In this work, we are interested in a detailed qualitative analysis of the Kawahara equation, a model that has numerous physical motivations such as magneto-acoustic waves in a cold…
On the boundary stabilization of the KdV-KdV system with time-dependent delay
Roberto de A. Capistrano-Filho, Boumediène Chentouf, Victor H. Gonzalez Martinez +1
The boundary stabilization problem of the Boussinesq KdV-KdV type system is investigated in this paper. An appropriate boundary feedback law consisting of a linear combination of a…
On the stability of the Kawahara equation with a distributed infinite memory
Roberto de A. Capistrano Filho, Boumediène Chentouf, Isadora Maria de Jesus
This article will deal with the stabilization problem for the higher-order dispersive system, commonly called the Kawahara equation. To do so, we introduce a damping mechanism via…
Two stability results for the Kawahara equation with a time-delayed boundary control
Roberto de A. Capistrano-Filho, Boumediène Chentouf, Luan S. de Sousa +1
In this paper, we consider the Kawahara equation in a bounded interval and with a delay term in one of the boundary conditions. Using two different approaches, we prove that this s…
Boundary stabilization of a one-dimensional wave equation by a switching time-delay: a theoretical and numerical study
Kaïs Ammari, Boumediène Chentouf, Nejib Smaoui
This paper deals with the boundary stabilization problem of a one-dimensional wave equation with a switching time-delay in the boundary. We show that the problem is well-posed in t…
Qualitative and numerical study of the stability of a nonlinear time-delayed dispersive equation
Kaïs Ammari, Boumediène Chentouf, Nejib Smaoui
This paper deals with the stability analysis of a nonlinear time-delayed dispersive equation of order four. First, we prove the well-posedness of the system and give some regularit…
Note on exponential and polynomial convergence for a delayed wave equation without displacement
Kaïs Ammari, Boumediène Chentouf
This note places primary emphasis on improving the asymptotic behavior of a multi-dimensional delayed wave equation in the absence of any displacement term. In the first instance,…
Further results on the asymptotic behavior of a 2D overhead crane with input delays: Exponential convergence
Kaïs Ammari, Boumediène Chentouf
This article is concerned with the asymptotic behavior of a 2D overhead crane. Taking into account the presence of a delay in the boundary, and assuming that no displacement term a…
Asymptotic behavior of a delayed wave equation without displacement term
Kaïs Ammari, Boumediène Chentouf
This paper is dedicated to the investigation of the asymptotic behavior of a delayed wave equation without the presence of any position term. First, it is shown that the problem is…
Improved results on the nonlinear feedback stabilization of a rotating body-beam system
K. Ammari, A. Bchatnia, B. Chentouf
This article is dedicated to the investigation of the stabilization problem of a flexible beam attached to the center of a rotating disk. We assume that the feedback law contains a…