Stackelberg-Nash null controllability of heat equation with general dynamic boundary conditions

I Boutaayamou, L Maniar, O Oukdach - arXiv preprint arXiv:2109.02356, 2021 - arxiv.org
This paper deals with the hierarchical control of the anisotropic heat equation with dynamic
boundary conditions and drift terms. We use the Stackelberg-Nash strategy with one leader …

Hierarchical control problem for the heat equation with dynamic boundary conditions

O Oukdach, I Boutaayamou… - IMA Journal of …, 2024 - academic.oup.com
This paper deals with a hierarchical control problem for the heat equation with dynamic
boundary conditions. The main goal consists of letting the state near from a prescribed target …

Stackelberg-Nash null controllability for stochastic parabolic equations

O Oukdach, S Boulite, A Elgrou, L Maniar - arXiv preprint arXiv …, 2024 - arxiv.org
We study a hierarchical control problem for stochastic parabolic equations involving gradient
terms. We employ the Stackelberg-Nash strategy with two leaders and two followers. The …

Hierarchical control for the semilinear parabolic equations with interior degeneracy

H Gao, W Yang, M Zhang - Journal of Mathematical Analysis and …, 2024 - Elsevier
This paper concerns with the hierarchical control of the semilinear parabolic equations with
interior degeneracy. By a Stackelberg-Nash strategy, we consider the linear and semilinear …

Existence of controls insensitizing the rotational of the solution of the navier–stokes system having a vanishing component

N Carreño, J Prada - Applied Mathematics & Optimization, 2023 - Springer
In this paper we study an insensitizing control problem for the Navier–Stokes system. The
novelty is that we insensitize the rotational of the solution using controls with one component …

Stackelberg–Nash Null Controllability for a Non Linear Coupled Degenerate Parabolic Equations

L Djomegne, C Kenne, R Dorville, P Zongo - Applied Mathematics & …, 2023 - Springer
The main purpose of this paper is to apply the notion of hierarchical control to a coupled
degenerate non linear parabolic equations. We use the Stackelberg–Nash strategy with one …

Stackelberg exact controllability of a class of nonlocal parabolic equations

L Djomegne, C Kenne - ESAIM: Control, Optimisation and Calculus …, 2024 - esaim-cocv.org
This paper deals with a multi-objective control problem for a class of nonlocal parabolic
equations, where the non-locality is expressed through an integral kernel. We present the …

On a multi-objective control problem for the Korteweg–de Vries equation

ICA Albuquerque, FD Araruna, MC Santos - Calculus of Variations and …, 2023 - Springer
This paper deals with a hierarchical control problem for the Korteweg–de Vries (KdV)
equation with distributed controls following a Stackelberg–Nash strategy. We have a control …

Hierarchical exact controllability of hyperbolic equations and Dunford-Pettis' theorem

FD Araruna, E Fernández-Cara… - Advances in Differential …, 2023 - projecteuclid.org
This paper deals with the Stackelberg-Nash strategies for boundary control problems for
linear and semilinear wave equations. Assuming that we can act on the system through a …

Numerical Stackelberg--Nash Control for the Heat Equation

PP de Carvalho, E Fernández-Cara - SIAM Journal on Scientific Computing, 2020 - SIAM
This paper deals with a strategy to solve numerically control problems of the Stackelberg--
Nash kind for heat equations with Dirichlet boundary conditions. We assume that we can act …