[PDF][PDF] Null controllability for a heat equation with dynamic boundary conditions and drift terms

A Khoutaibi, L Maniar - Evol. Equ. Control Theory, 2020 - academia.edu
We consider the heat equation in a bounded domain of RN with distributed control
(supported on a small open subset) subject to dynamic boundary conditions of surface …

Stable determination of coefficients in semilinear parabolic system with dynamic boundary conditions

SE Chorfi, L Maniar - Inverse Problems, 2022 - iopscience.iop.org
In this work, we study the stable determination of four space-dependent coefficients
appearing in a coupled semilinear parabolic system with variable diffusion matrices subject …

Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions

EM Hassi, SE Chorfi, L Maniar, O Oukdach - arXiv preprint arXiv …, 2020 - arxiv.org
In this paper, we study an inverse problem for linear parabolic system with variable diffusion
coefficients subject to dynamic boundary conditions. We prove a global Lipschitz stability for …

Impulse null approximate controllability for heat equation with dynamic boundary conditions

SE Chorfi, GE Guermai, L Maniar, W Zouhair - arXiv preprint arXiv …, 2022 - arxiv.org
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 …

Lebeau–Robbiano inequality for heat equation with dynamic boundary conditions and optimal null controllability

L Maniar, O Oukdach, W Zouhair - Differential Equations and Dynamical …, 2023 - Springer
The paper deals with time and norm optimal control problems for the heat equation with
dynamic boundary conditions in the context of the null controllability. More precisely, we …

Finite-time stabilization and impulse control of heat equation with dynamic boundary conditions

SE Chorfi, G El Guermai, L Maniar… - Journal of Dynamical and …, 2023 - Springer
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 …

Discrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditions

R Lecaros, R Morales, A Pérez, S Zamorano - Journal of Differential …, 2023 - Elsevier
We consider a fully-discrete approximation of a 1-D heat equation with dynamic boundary
conditions for which we provide a controllability result. The proof of this result is based on a …

On the basic reproduction number in continuously structured populations

C Barril, À Calsina, S Cuadrado… - … methods in the applied …, 2021 - Wiley Online Library
In the framework of population dynamics, the basic reproduction number R 0 is, by definition,
the expected number of offspring that an individual has during its lifetime. In constant and …

Fourth order differential operators with interior degeneracy and generalized Wentzell boundary conditions

A Camasta, G Fragnelli - arXiv preprint arXiv:2207.07959, 2022 - arxiv.org
In this paper we consider the fourth order operators A1u:=(au")" and A2u:= au"" in
divergence form and non divergence form, respectively, where a, defined in [0, 1] with …

Boundary null controllability for the heat equation with dynamic boundary conditions

SE Chorfi, GE Guermai, A Khoutaibi… - arXiv preprint arXiv …, 2022 - arxiv.org
In this paper, we are concerned with the boundary controllability of heat equation with
dynamic boundary conditions. More precisely, we prove that the equation is null controllable …