Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Controllability with one scalar control of a system of interaction between the Navier–Stokes system and a damped beam equation

Rémi Buffe and Takéo Takahashi
Mathematics of Control, Signals, and Systems 37 (1) 113 (2025)
https://doi.org/10.1007/s00498-024-00397-2

Optimal Control for a New Class of Unbounded Non-Homogeneous Bilinear Systems

Soufiane Yahyaoui and Mohamed Ouzahra
Journal of Optimization Theory and Applications 206 (3) (2025)
https://doi.org/10.1007/s10957-025-02751-z

Global controllability to harmonic maps of the heat flow from a circle to a sphere

Jean-Michel Coron and Shengquan Xiang
Journal de Mathématiques Pures et Appliquées 103761 (2025)
https://doi.org/10.1016/j.matpur.2025.103761

Null controllability for stochastic parabolic equations with Robin boundary conditions

Said Boulite, Abdellatif Elgrou and Lahcen Maniar
Evolution Equations and Control Theory 14 (5) 990 (2025)
https://doi.org/10.3934/eect.2025020

On Uniform Null Controllability of Transport–Diffusion Equations With Vanishing Viscosity Limit

Fouad Et‐Tahri, Jon Asier Bárcena‐Petisco, Idriss Boutaayamou and Lahcen Maniar
Mathematical Methods in the Applied Sciences 48 (6) 6531 (2025)
https://doi.org/10.1002/mma.10693

Null controllability of an ODE-heat system with coupled boundary and internal terms

Idriss Boutaayamou, Fouad Et-tahri and Lahcen Maniar
Applied Mathematics and Computation 495 129303 (2025)
https://doi.org/10.1016/j.amc.2025.129303

Boundary null controllability of convection-diffusion equations with constraints on the state and application to the identification of boundary pollution parameters

Arnaud Fournier and James Larrouy
International Journal of Control 97 (8) 1746 (2024)
https://doi.org/10.1080/00207179.2023.2227898

Null controllability for backward stochastic parabolic convection-diffusion equations with dynamic boundary conditions

Mahmoud Baroun, Said Boulite, Abdellatif Elgrou and Lahcen Maniar
Mathematical Control and Related Fields (2024)
https://doi.org/10.3934/mcrf.2024031

Stackelberg exact controllability for the Boussinesq system

Takéo Takahashi, Luz de Teresa and Yingying Wu-Zhang
Nonlinear Differential Equations and Applications NoDEA 31 (5) (2024)
https://doi.org/10.1007/s00030-024-00971-2

Control Problems for the Navier–Stokes System with Nonlocal Spatial Terms

Nicolás Carreño and Takéo Takahashi
Journal of Optimization Theory and Applications 200 (2) 724 (2024)
https://doi.org/10.1007/s10957-023-02321-1

A Kalman condition for the controllability of a coupled system of Stokes equations

Takéo Takahashi, Luz de Teresa and Yingying Wu-Zhang
Journal of Evolution Equations 24 (1) (2024)
https://doi.org/10.1007/s00028-023-00935-6

Boundary null controllability for the heat equation with dynamic boundary conditions

Salah-Eddine Chorfi, Ghita El Guermai, Abdelaziz Khoutaibi and Lahcen Maniar
Evolution Equations and Control Theory 12 (2) 542 (2023)
https://doi.org/10.3934/eect.2022041

Null Controllability for Stochastic Parabolic Equations with Dynamic Boundary Conditions

Mahmoud Baroun, Said Boulite, Abdellatif Elgrou and Lahcen Maniar
Journal of Dynamical and Control Systems 29 (4) 1727 (2023)
https://doi.org/10.1007/s10883-023-09656-y

Analysis of the heart-torso conductivity parameters recovery inverse problem in cardiac electrophysiology ECG modelling

Abir Amri, Mourad Bellassoued, Moncef Mahjoub and Nejib zemzemi
Applicable Analysis 102 (2) 494 (2023)
https://doi.org/10.1080/00036811.2021.1955861

Controllability of a fluid-structure interaction system coupling the Navier–Stokes system and a damped beam equation

Rémi Buffe and Takéo Takahashi
Comptes Rendus. Mathématique 361 (G9) 1541 (2023)
https://doi.org/10.5802/crmath.509

Existence of Controls Insensitizing the Rotational of the Solution of the Navier–Stokes System Having a Vanishing Component

N. Carreño and J. Prada
Applied Mathematics & Optimization 88 (2) (2023)
https://doi.org/10.1007/s00245-023-10011-7

Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system

Víctor Hernández-Santamaría
Evolution Equations and Control Theory 12 (2) 459 (2023)
https://doi.org/10.3934/eect.2022038

Null controllability for semilinear heat equation with dynamic boundary conditions

Abdelaziz Khoutaibi, Lahcen Maniar and Omar Oukdach
Discrete and Continuous Dynamical Systems - S 15 (6) 1525 (2022)
https://doi.org/10.3934/dcdss.2022087

Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II

Jérôme Le Rousseau, Gilles Lebeau and Luc Robbiano
Progress in Nonlinear Differential Equations and Their Applications, Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II 98 283 (2022)
https://doi.org/10.1007/978-3-030-88670-7_13

Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I

Jérôme Le Rousseau, Gilles Lebeau and Luc Robbiano
Progress in Nonlinear Differential Equations and Their Applications, Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I 97 251 (2022)
https://doi.org/10.1007/978-3-030-88674-5_7

Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I

Jérôme Le Rousseau, Gilles Lebeau and Luc Robbiano
Progress in Nonlinear Differential Equations and Their Applications, Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I 97 63 (2022)
https://doi.org/10.1007/978-3-030-88674-5_3

Local null controllability of the penalized Boussinesq system with a reduced number of controls

Jon Asier Bárcena-Petisco and Kévin Le Balc'h
Mathematical Control and Related Fields 12 (3) 641 (2022)
https://doi.org/10.3934/mcrf.2021038

Bilinear local controllability to the trajectories of the Fokker–Planck equation with a localized control

Michel Duprez and Pierre Lissy
Annales de l'Institut Fourier 72 (4) 1621 (2022)
https://doi.org/10.5802/aif.3501

Observation estimate for the heat equations with Neumann boundary conditions via logarithmic convexity

Rémi Buffe and Kim Dang Phung
Journal of Evolution Equations 22 (4) (2022)
https://doi.org/10.1007/s00028-022-00842-2

Controllability to trajectories of a Ladyzhenskaya model for a viscous incompressible fluid

Sergio Guerrero and Takéo Takahashi
Comptes Rendus. Mathématique 359 (6) 719 (2021)
https://doi.org/10.5802/crmath.202

Local Null-Controllability of a Nonlocal Semilinear Heat Equation

Víctor Hernández-Santamaría and Kévin Le Balc’h
Applied Mathematics & Optimization 84 (2) 1435 (2021)
https://doi.org/10.1007/s00245-020-09683-2

Boundary null-controllability of 1-D coupled parabolic systems with Kirchhoff-type conditions

Kuntal Bhandari, Franck Boyer and Víctor Hernández-Santamaría
Mathematics of Control, Signals, and Systems 33 (3) 413 (2021)
https://doi.org/10.1007/s00498-021-00285-z

Uniform Controllability of a Stokes Problem with a Transport Term in the Zero-Diffusion Limit

Jon Asier Bárcena-Petisco
SIAM Journal on Control and Optimization 58 (3) 1597 (2020)
https://doi.org/10.1137/19M1252004

Null controllability of a penalized Stokes problem in dimension two with one scalar control

Jon Asier Bárcena-Petisco
Asymptotic Analysis 117 (3-4) 161 (2020)
https://doi.org/10.3233/ASY-191550

Carleman estimate for an adjoint of a damped beam equation and an application to null controllability

Sourav Mitra
Journal of Mathematical Analysis and Applications 484 (1) 123718 (2020)
https://doi.org/10.1016/j.jmaa.2019.123718

Global null-controllability and nonnegative-controllability of slightly superlinear heat equations

Kévin Le Balc'h
Journal de Mathématiques Pures et Appliquées 135 103 (2020)
https://doi.org/10.1016/j.matpur.2019.10.009

Stackelberg–Nash exact controllability for the Kuramoto–Sivashinsky equation

N. Carreño and M.C. Santos
Journal of Differential Equations 266 (9) 6068 (2019)
https://doi.org/10.1016/j.jde.2018.10.043

Null-Controllability of Two Species Reaction-Diffusion System with Nonlinear Coupling: A New Duality Method

Kévin Le Balc'h
SIAM Journal on Control and Optimization 57 (4) 2541 (2019)
https://doi.org/10.1137/18M1173010

Controllability of Coupled Parabolic Systems with Multiple Underactuations, Part 2: Null Controllability

Drew Steeves, Bahman Gharesifard and Abdol-Reza Mansouri
SIAM Journal on Control and Optimization 57 (5) 3297 (2019)
https://doi.org/10.1137/17M1154898

Robust Stackelberg controllability for the Navier–Stokes equations

Cristhian Montoya and Luz de Teresa
Nonlinear Differential Equations and Applications NoDEA 25 (5) (2018)
https://doi.org/10.1007/s00030-018-0537-3

Controllability results for the two-dimensional heat equation with mixed boundary conditions using Carleman inequalities: a linear and a semilinear case

Tarik Ali Ziane, Hadjer Ouzzane and Ouahiba Zair
Applicable Analysis 97 (14) 2412 (2018)
https://doi.org/10.1080/00036811.2017.1371298

Carleman estimates for parabolic equations with interior degeneracy and Neumann boundary conditions

Idriss Boutaayamou, Genni Fragnelli and Lahcen Maniar
Journal d'Analyse Mathématique 135 (1) 1 (2018)
https://doi.org/10.1007/s11854-018-0030-2

Local null controllability of the N-dimensional Navier–Stokes system with nonlinear Navier-slip boundary conditions and N − 1 scalar controls

Sergio Guerrero and Cristhian Montoya
Journal de Mathématiques Pures et Appliquées 113 37 (2018)
https://doi.org/10.1016/j.matpur.2018.03.004

Carleman estimates for stochastic parabolic equations with Neumann boundary conditions and applications

Yuqing Yan
Journal of Mathematical Analysis and Applications 457 (1) 248 (2018)
https://doi.org/10.1016/j.jmaa.2017.08.003

Local Exact Controllability of Two-Phase Field Solidification Systems with Few Controls

F. D. Araruna, B. M. R. Calsavara and E. Fernández-Cara
Applied Mathematics & Optimization 78 (2) 267 (2018)
https://doi.org/10.1007/s00245-017-9406-4

Boundary feedback stabilization of the monodomain equations

Tobias Breiten and Karl Kunisch
Mathematical Control & Related Fields 7 (3) 369 (2017)
https://doi.org/10.3934/mcrf.2017013

A source reconstruction algorithm for the Stokes system from incomplete velocity measurements

Galina C García, Cristhian Montoya and Axel Osses
Inverse Problems 33 (10) 105003 (2017)
https://doi.org/10.1088/1361-6420/aa863f

Feedback Stabilization to Nonstationary Solutions of a Class of Reaction Diffusion Equations of FitzHugh--Nagumo Type

Tobias Breiten, Karl Kunisch and Sérgio S. Rodrigues
SIAM Journal on Control and Optimization 55 (4) 2684 (2017)
https://doi.org/10.1137/15M1038165

Null controllability for parabolic equations with dynamic boundary conditions

Lahcen Maniar, Martin Meyries and Roland Schnaubelt
Evolution Equations & Control Theory 6 (3) 381 (2017)
https://doi.org/10.3934/eect.2017020

Indirect controllability of some linear parabolic systems of m equations with m− 1 controls involving coupling terms of zero or first order

Michel Duprez and Pierre Lissy
Journal de Mathématiques Pures et Appliquées 106 (5) 905 (2016)
https://doi.org/10.1016/j.matpur.2016.03.016

Insensitizing controls for a phase field system

Bianca M.R. Calsavara, Nicolás Carreño and Eduardo Cerpa
Nonlinear Analysis: Theory, Methods & Applications 143 120 (2016)
https://doi.org/10.1016/j.na.2016.05.008

Optimal Shape and Location of Sensors for Parabolic Equations with Random Initial Data

Yannick Privat, Emmanuel Trélat and Enrique Zuazua
Archive for Rational Mechanics and Analysis 216 (3) 921 (2015)
https://doi.org/10.1007/s00205-014-0823-0

Null Controllability of the Stabilized Kuramoto--Sivashinsky System with One Distributed Control

Eduardo Cerpa, Alberto Mercado and Ademir F. Pazoto
SIAM Journal on Control and Optimization 53 (3) 1543 (2015)
https://doi.org/10.1137/130947969

Riccati-Based Feedback Control of the Monodomain Equations With the Fitzhugh--Nagumo Model

Tobias Breiten and Karl Kunisch
SIAM Journal on Control and Optimization 52 (6) 4057 (2014)
https://doi.org/10.1137/140964552

A Carleman estimate for the two dimensional heat equation with mixed boundary conditions

Tarik Ali Ziane, Hadjer Ouzzane and Ouahiba Zair
Comptes Rendus. Mathématique 351 (3-4) 97 (2013)
https://doi.org/10.1016/j.crma.2013.02.006

Advances in Interdisciplinary Mathematical Research

Sadou Tao and Ousseynou Nakoulima
Springer Proceedings in Mathematics & Statistics, Advances in Interdisciplinary Mathematical Research 37 167 (2013)
https://doi.org/10.1007/978-1-4614-6345-0_9

Exact Null Controllability of KdV‐Burgers Equation with Memory Effect Systems

Rajagounder Ravi Kumar, Kil To Chong, Jong Ho Park and Yongfu Su
Abstract and Applied Analysis 2012 (1) (2012)
https://doi.org/10.1155/2012/531659

Null controllability of the N-dimensional Stokes system withN−1scalar controls

Jean-Michel Coron and Sergio Guerrero
Journal of Differential Equations 246 (7) 2908 (2009)
https://doi.org/10.1016/j.jde.2008.10.019

Some inverse stability results for the bistable reaction–diffusion equation using Carleman inequalities

Muriel Boulakia, Céline Grandmont and Axel Osses
Comptes Rendus. Mathématique 347 (11-12) 619 (2009)
https://doi.org/10.1016/j.crma.2009.03.022

A null controllability problem with constraint on the control deriving from boundary discriminating sentinels

G.M. Mophou and J. Velin
Nonlinear Analysis: Theory, Methods & Applications 71 (12) e910 (2009)
https://doi.org/10.1016/j.na.2008.12.054

Control and Stabilization Properties for a Singular Heat Equation with an Inverse-Square Potential

Sylvain Ervedoza
Communications in Partial Differential Equations 33 (11) 1996 (2008)
https://doi.org/10.1080/03605300802402633

Controllability of systems of Stokes equations with one control force: existence of insensitizing controls

Sergio Guerrero
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 24 (6) 1029 (2007)
https://doi.org/10.1016/j.anihpc.2006.11.001

Null Controllability of Some Systems of Two Parabolic Equations with One Control Force

Sergio Guerrero
SIAM Journal on Control and Optimization 46 (2) 379 (2007)
https://doi.org/10.1137/060653135

Global Carleman Inequalities for Parabolic Systems and Applications to Controllability

Enrique Fernández‐Cara and Sergio Guerrero
SIAM Journal on Control and Optimization 45 (4) 1395 (2006)
https://doi.org/10.1137/S0363012904439696