14 citations · 41 across the 11 of their papers we have counts for
11 papers
Finite-time stabilization via impulse control of degenerate singular parabolic equations
Walid Zouhair, Ghita El Guermai, Ilham Ouelddris
This paper examines the impulse controllability of degenerate singular parabolic equations through a modern framework focused on finite-time stabilization. Furthermore, we provide…
Internal null controllability for the one-dimensional heat equation with dynamic boundary conditions
El Mustapha Ait Ben Hassi, Mariem Jakhoukh, Lahcen Maniar +1
The primary focus of this paper is to establish the internal null controllability for the one-dimensional heat equation featuring dynamic boundary conditions. This achievement is r…
Numerical impulse controllability for parabolic equations by a penalized HUM approach
S. E. Chorfi, G. El Guermai, L. Maniar +1
This work presents a comparative study to numerically compute impulse approximate controls for parabolic equations with various boundary conditions. Theoretical controllability res…
Controllability of suspension bridge model proposed by Lazer and Mckenna under the influence of impulses, delays, and non-local conditions
Walid Zouhair, Hugo Leiva
The main purpose of this paper is to prove the controllability of the model proposed by Lazer and Mckenna under the influence of impulses, delay, and non-local conditions. First, w…
Finite-time stabilization and impulse control of heat equation with dynamic boundary conditions
Salah-Eddine Chorfi, Ghita El Guermai, Lahcen Maniar +1
In this paper, we study the impulse controllability of a multi-dimensional heat equation with dynamic boundary conditions in a bounded smooth domain. Using a recent approach based…
Numerical identification of initial temperatures in heat equation with dynamic boundary conditions
S. E. Chorfi, G. El Guermai, L. Maniar +1
We investigate the inverse problem of numerically identifying unknown initial temperatures in a heat equation with dynamic boundary conditions whenever some overdetermination data…
Logarithmic convexity and impulsive controllability for the 1-D heat equation with dynamic boundary conditions
S. E. Chorfi, G. El Guermai, L. Maniar +1
In this paper, we prove a logarithmic convexity that reflects an observability estimate at a single point of time for 1-D heat equation with dynamic boundary conditions. Consequent…
On the existence and uniqueness of solutions for non-autonomous semi-linear systems with non-instantaneous impulses, delay, and non-local conditions
Sebastiàn Lalvay, Adriàn Padilla-segarra, Walid Zouhair
A non-autonomous evolution semi-linear differential system under non-instantaneous impulses, delays, and perturbed by non-local conditions is studied. Its piece-wise continuous sol…
Impulse null approximate controllability for heat equation with dynamic boundary conditions
S. E. Chorfi, G. El Guermai, L. Maniar +1
The main purpose of this article is to prove a logarithmic convexity estimate for the solution of a linear heat equation subject to dynamic boundary conditions in a bounded convex…
Identification of source terms in wave equation with dynamic boundary conditions
S. E. Chorfi, G. El Guermai, L. Maniar +1
This paper studies an inverse hyperbolic problem for the wave equation with dynamic boundary conditions. It consists of determining some forcing terms from the final overdeterminat…
Qualitative properties for the 1-D Impulsive Wave Equation: Controllability and Observability
Walid Zouhair, Akram Ben Aissa
In this paper, we establish some important results for the impulsive wave equation. We begin by proving the existence of a solution. Then, we study the impulse approximate controll…